"logarithm" meaning in English

See logarithm in All languages combined, or Wiktionary

Noun

IPA: /ˈlɒɡ.ə.ɹɪ.ð(ə)m/ [UK], /ˈlɑ.ɡə.ɹɪ.ð(ə)m/ [US], /ˈlɑɡəɹ.ɹɪ.ðəm/ [US], /ˈlɑɡ.ə.ɹɪðm/ [US], /ˈlɑɡ.əɹ.ɹɪðm/ [US], /ˈlɑ.ɡə.ɹɪ.ð(ə)m/ [Canada], /ˈlɔɡ.ə.ɹɪ.ð(ə)m/ [UK] Audio: LL-Q1860 (eng)-Vealhurl-logarithm.wav Forms: logarithms [plural]
Etymology: From New Latin logarithmus, term coined by Scottish mathematician John Napier from Ancient Greek λόγος (lógos, “word, reckoning”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin. Etymology templates: {{der|en|NL.|logarithmus}} New Latin logarithmus, {{der|en|grc|λόγος||word, reckoning}} Ancient Greek λόγος (lógos, “word, reckoning”), {{der|en|la|-}} Latin Head templates: {{en-noun}} logarithm (plural logarithms)
  1. (mathematics) For a number x, the power to which a given base number must be raised in order to obtain x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16. Wikipedia link: John Napier, logarithm Categories (topical): Functions, Mathematics Synonyms: log Translations (The power to which a given base number must be raised in order to obtain a given number): أَسِيس (ʔasīs) [masculine] (Arabic), لُوغَارِثْم (lūḡāriṯm) [masculine] (Arabic), լոգարիթմ (logaritʻm) (Armenian), логаритъм (logaritǎm) [masculine] (Bulgarian), လော့ဂရစ်သမ် (lau.ga.racsam) (Burmese), logaritme [masculine] (Catalan), 對數 /对数 (zh-min-nan) [Hokkien] (Chinese), 對數 /对数 (duìshù) (Chinese Mandarin), logaritmus [masculine] (Czech), logaritme [common-gender] (Danish), logaritme [neuter] (Dutch), logaritmo (Esperanto), logaritmi (Finnish), logarithme [masculine] (French), logaritmo [masculine] (Galician), ლოგარითმი (logaritmi) (Georgian), Logarithmus [masculine] (German), λογάριθμος (logárithmos) [masculine] (Greek), લઘુગણક (laghugṇak) (Gujarati), huhui helu (Hawaiian), लघुगणक (laghugṇak) (Hindi), logaritmus (Hungarian), logri [masculine] (Icelandic), logaritmo [masculine] (Italian), 対数 (taisū) (alt: たいすう) (Japanese), ಪೆರ್ಚುಪಟ್ಟು (percupaṭṭu) (Kannada), ಪಟ್ಟೇರುಕ (paṭṭēruka) (Kannada), ಲಘುಗಣಕ (laghugaṇaka) (Kannada), លោការីត (lookaariit) (Khmer), 로그 (rogeu) (Korean), 대수 (daesu) (alt: 對數) (Korean), logarithmus (Latin), logaritms [masculine] (Latvian), логари́там (logarítam) [masculine] (Macedonian), taupū kōaro (Maori), pūkōaro (Maori), logaritme [masculine] (Norwegian Bokmål), logaritme [masculine] (Norwegian Nynorsk), لوغاریتمه (logaritma) (Ottoman Turkish), logarytm [masculine] (Polish), logaritmo [masculine] (Portuguese), ਲਘੂਗਣਕ (laghūgṇak) (Punjabi), logaritm [masculine] (Romanian), логари́фм (logarífm) [masculine] (Russian), логаритам [Cyrillic, masculine] (Serbo-Croatian), logaritam [Roman, masculine] (Serbo-Croatian), mhetapawa (Shona), davanharu (Shona), ලඝු ගණක (laghu gaṇaka) (Sinhalese), logaritem [masculine] (Slovene), logaritmo [masculine] (Spanish), logaritm [common-gender] (Swedish), logpaulit (Tagalog), மடக்கை (maṭakkai) (Tamil), ลอการิทึม (lɔɔ-gaa-rí-tʉm) (Thai), logaritma (Turkish), логари́фм (loharýfm) [masculine] (Ukrainian), логари́тм (loharýtm) [masculine] (Ukrainian), đối số (alt: 對數) (Vietnamese), lôga (Vietnamese), lôgarit (Vietnamese), lô-ga-rít (Vietnamese), לאָגאַריטם (logaritm) [masculine] (Yiddish)
    Sense id: en-logarithm-en-noun-YcbSeeZs Categories (other): English entries with incorrect language header, Entries with translation boxes, Kannada terms with redundant script codes, Mandarin terms with redundant transliterations, Pages with 1 entry, Pages with entries, Sinhalese terms with redundant script codes, Tamil terms with redundant script codes, Terms with Arabic translations, Terms with Armenian translations, Terms with Bulgarian translations, Terms with Burmese translations, Terms with Catalan translations, Terms with Czech translations, Terms with Danish translations, Terms with Dutch translations, Terms with Esperanto translations, Terms with Finnish translations, Terms with French translations, Terms with Galician translations, Terms with Georgian translations, Terms with German translations, Terms with Greek translations, Terms with Gujarati translations, Terms with Hawaiian translations, Terms with Hindi translations, Terms with Hokkien translations, Terms with Hungarian translations, Terms with Icelandic translations, Terms with Italian translations, Terms with Japanese translations, Terms with Kannada translations, Terms with Khmer translations, Terms with Korean translations, Terms with Latin translations, Terms with Latvian translations, Terms with Macedonian translations, Terms with Mandarin translations, Terms with Maori translations, Terms with Norwegian Bokmål translations, Terms with Norwegian Nynorsk translations, Terms with Ottoman Turkish translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Punjabi translations, Terms with Romanian translations, Terms with Russian translations, Terms with Serbo-Croatian translations, Terms with Shona translations, Terms with Sinhalese translations, Terms with Slovene translations, Terms with Spanish translations, Terms with Swedish translations, Terms with Tagalog translations, Terms with Tamil translations, Terms with Thai translations, Terms with Turkish translations, Terms with Ukrainian translations, Terms with Vietnamese translations, Terms with Yiddish translations, Vietnamese terms with redundant script codes Topics: mathematics, sciences Derived forms: antilogarithm, binary logarithm, Briggsian logarithm, Briggs logarithm, common logarithm, log, logarithmancy, logarithmic, Naperian logarithm, Napierian logarithm, natural logarithm, ternary logarithm Related terms: successor, ln, characteristic, mantissa Related terms (addition, summation): + = (alt: augend) (english: addend; total), + +... = (alt: summand) (english: sum) Related terms (division; dividend): ÷ = (quotient) Related terms (exponentiation; base): = (alt: exponent) (english: power) Related terms (logarithmization): log(base) = (alt: antilogarithm) (english: logarithm) Related terms (multiplication, factorization; factor): × ×... = (english: factor; factor; product) Related terms (multiplication, factorization; multiplier): × = (multiplicand) (english: product) Related terms (numerator) / (denominator) = (quotient): Or sometimes (alt: quotient) (english: with remaining) Related terms (root extraction; degree): √ = (radicand) [root] Related terms (subtraction): − = (subtrahend) (english: difference)

Inflected forms

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          "word": "binary logarithm"
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        {
          "word": "Briggsian logarithm"
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        {
          "word": "Briggs logarithm"
        },
        {
          "word": "common logarithm"
        },
        {
          "word": "log"
        },
        {
          "word": "logarithmancy"
        },
        {
          "word": "logarithmic"
        },
        {
          "word": "Naperian logarithm"
        },
        {
          "word": "Napierian logarithm"
        },
        {
          "word": "natural logarithm"
        },
        {
          "word": "ternary logarithm"
        }
      ],
      "examples": [
        {
          "text": "For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979."
        }
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      "glosses": [
        "For a number x, the power to which a given base number must be raised in order to obtain x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16."
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          "mathematics"
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        [
          "power",
          "power"
        ],
        [
          "base",
          "base"
        ]
      ],
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        "(mathematics) For a number x, the power to which a given base number must be raised in order to obtain x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16."
      ],
      "related": [
        {
          "word": "successor"
        },
        {
          "word": "ln"
        },
        {
          "word": "characteristic"
        },
        {
          "word": "mantissa"
        },
        {
          "alt": "augend",
          "english": "addend; total",
          "sense": "addition, summation",
          "word": "+ ="
        },
        {
          "alt": "summand",
          "english": "sum",
          "sense": "addition, summation",
          "word": "+ +... ="
        },
        {
          "english": "difference",
          "roman": "subtrahend",
          "sense": "subtraction",
          "word": "− ="
        },
        {
          "english": "product",
          "roman": "multiplicand",
          "sense": "multiplication, factorization; multiplier",
          "word": "× ="
        },
        {
          "english": "factor; factor; product",
          "sense": "multiplication, factorization; factor",
          "word": "× ×... ="
        },
        {
          "roman": "quotient",
          "sense": "division; dividend",
          "word": "÷ ="
        },
        {
          "alt": "quotient",
          "english": "with remaining",
          "sense": "numerator) / (denominator) = (quotient",
          "word": "Or sometimes"
        },
        {
          "alt": "exponent",
          "english": "power",
          "sense": "exponentiation; base",
          "word": "="
        },
        {
          "roman": "radicand",
          "sense": "root extraction; degree",
          "tags": [
            "root"
          ],
          "word": "√ ="
        },
        {
          "alt": "antilogarithm",
          "english": "logarithm",
          "sense": "logarithmization",
          "word": "log(base) ="
        }
      ],
      "synonyms": [
        {
          "word": "log"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "roman": "ʔasīs",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "أَسِيس"
        },
        {
          "code": "ar",
          "lang": "Arabic",
          "roman": "lūḡāriṯm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "لُوغَارِثْم"
        },
        {
          "code": "hy",
          "lang": "Armenian",
          "roman": "logaritʻm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "լոգարիթմ"
        },
        {
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "logaritǎm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "логаритъм"
        },
        {
          "code": "my",
          "lang": "Burmese",
          "roman": "lau.ga.racsam",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "လော့ဂရစ်သမ်"
        },
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritme"
        },
        {
          "code": "nan-hbl",
          "lang": "Chinese",
          "roman": "zh-min-nan",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "Hokkien"
          ],
          "word": "對數 /对数"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "duìshù",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "對數 /对数"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritmus"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "common-gender"
          ],
          "word": "logaritme"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "neuter"
          ],
          "word": "logaritme"
        },
        {
          "code": "eo",
          "lang": "Esperanto",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "logaritmo"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "logaritmi"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logarithme"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritmo"
        },
        {
          "code": "ka",
          "lang": "Georgian",
          "roman": "logaritmi",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ლოგარითმი"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "Logarithmus"
        },
        {
          "code": "el",
          "lang": "Greek",
          "roman": "logárithmos",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "λογάριθμος"
        },
        {
          "code": "gu",
          "lang": "Gujarati",
          "roman": "laghugṇak",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "લઘુગણક"
        },
        {
          "code": "haw",
          "lang": "Hawaiian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "huhui helu"
        },
        {
          "code": "hi",
          "lang": "Hindi",
          "roman": "laghugṇak",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "लघुगणक"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "logaritmus"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logri"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritmo"
        },
        {
          "alt": "たいすう",
          "code": "ja",
          "lang": "Japanese",
          "roman": "taisū",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "対数"
        },
        {
          "code": "kn",
          "lang": "Kannada",
          "roman": "percupaṭṭu",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ಪೆರ್ಚುಪಟ್ಟು"
        },
        {
          "code": "kn",
          "lang": "Kannada",
          "roman": "paṭṭēruka",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ಪಟ್ಟೇರುಕ"
        },
        {
          "code": "kn",
          "lang": "Kannada",
          "roman": "laghugaṇaka",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ಲಘುಗಣಕ"
        },
        {
          "code": "km",
          "lang": "Khmer",
          "roman": "lookaariit",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "លោការីត"
        },
        {
          "code": "ko",
          "lang": "Korean",
          "roman": "rogeu",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "로그"
        },
        {
          "alt": "對數",
          "code": "ko",
          "lang": "Korean",
          "roman": "daesu",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "대수"
        },
        {
          "code": "la",
          "lang": "Latin",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "logarithmus"
        },
        {
          "code": "lv",
          "lang": "Latvian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritms"
        },
        {
          "code": "mk",
          "lang": "Macedonian",
          "roman": "logarítam",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "логари́там"
        },
        {
          "code": "mi",
          "lang": "Maori",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "taupū kōaro"
        },
        {
          "code": "mi",
          "lang": "Maori",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "pūkōaro"
        },
        {
          "code": "nb",
          "lang": "Norwegian Bokmål",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritme"
        },
        {
          "code": "nn",
          "lang": "Norwegian Nynorsk",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritme"
        },
        {
          "code": "ota",
          "lang": "Ottoman Turkish",
          "roman": "logaritma",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "لوغاریتمه"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logarytm"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritmo"
        },
        {
          "code": "pa",
          "lang": "Punjabi",
          "roman": "laghūgṇak",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ਲਘੂਗਣਕ"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritm"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "logarífm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "логари́фм"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "Cyrillic",
            "masculine"
          ],
          "word": "логаритам"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "Roman",
            "masculine"
          ],
          "word": "logaritam"
        },
        {
          "code": "sn",
          "lang": "Shona",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "mhetapawa"
        },
        {
          "code": "sn",
          "lang": "Shona",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "davanharu"
        },
        {
          "code": "si",
          "lang": "Sinhalese",
          "roman": "laghu gaṇaka",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ලඝු ගණක"
        },
        {
          "code": "sl",
          "lang": "Slovene",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritem"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "logaritmo"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "common-gender"
          ],
          "word": "logaritm"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "logpaulit"
        },
        {
          "code": "ta",
          "lang": "Tamil",
          "roman": "maṭakkai",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "மடக்கை"
        },
        {
          "code": "th",
          "lang": "Thai",
          "roman": "lɔɔ-gaa-rí-tʉm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "ลอการิทึม"
        },
        {
          "code": "tr",
          "lang": "Turkish",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "logaritma"
        },
        {
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "loharýfm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "логари́фм"
        },
        {
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "loharýtm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "логари́тм"
        },
        {
          "alt": "對數",
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "đối số"
        },
        {
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "lôga"
        },
        {
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "lôgarit"
        },
        {
          "code": "vi",
          "lang": "Vietnamese",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "lô-ga-rít"
        },
        {
          "code": "yi",
          "lang": "Yiddish",
          "roman": "logaritm",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "masculine"
          ],
          "word": "לאָגאַריטם"
        }
      ],
      "wikipedia": [
        "John Napier",
        "logarithm"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈlɒɡ.ə.ɹɪ.ð(ə)m/",
      "tags": [
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    },
    {
      "ipa": "/ˈlɑɡ.ə.ɹɪðm/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡ.əɹ.ɹɪðm/",
      "tags": [
        "US"
      ]
    },
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      "ipa": "/ˈlɑ.ɡə.ɹɪ.ð(ə)m/",
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  "word": "logarithm"
}
{
  "derived": [
    {
      "word": "antilogarithm"
    },
    {
      "word": "binary logarithm"
    },
    {
      "word": "Briggsian logarithm"
    },
    {
      "word": "Briggs logarithm"
    },
    {
      "word": "common logarithm"
    },
    {
      "word": "log"
    },
    {
      "word": "logarithmancy"
    },
    {
      "word": "logarithmic"
    },
    {
      "word": "Naperian logarithm"
    },
    {
      "word": "Napierian logarithm"
    },
    {
      "word": "natural logarithm"
    },
    {
      "word": "ternary logarithm"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "NL.",
        "3": "logarithmus"
      },
      "expansion": "New Latin logarithmus",
      "name": "der"
    },
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "λόγος",
        "4": "",
        "5": "word, reckoning"
      },
      "expansion": "Ancient Greek λόγος (lógos, “word, reckoning”)",
      "name": "der"
    },
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "-"
      },
      "expansion": "Latin",
      "name": "der"
    }
  ],
  "etymology_text": "From New Latin logarithmus, term coined by Scottish mathematician John Napier from Ancient Greek λόγος (lógos, “word, reckoning”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin.",
  "forms": [
    {
      "form": "logarithms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "logarithm (plural logarithms)",
      "name": "en-noun"
    }
  ],
  "hyphenation": [
    "log‧a‧ri‧thm"
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "successor"
    },
    {
      "alt": "augend",
      "english": "addend; total",
      "sense": "addition, summation",
      "word": "+ ="
    },
    {
      "alt": "summand",
      "english": "sum",
      "sense": "addition, summation",
      "word": "+ +... ="
    },
    {
      "english": "difference",
      "roman": "subtrahend",
      "sense": "subtraction",
      "word": "− ="
    },
    {
      "english": "product",
      "roman": "multiplicand",
      "sense": "multiplication, factorization; multiplier",
      "word": "× ="
    },
    {
      "english": "factor; factor; product",
      "sense": "multiplication, factorization; factor",
      "word": "× ×... ="
    },
    {
      "roman": "quotient",
      "sense": "division; dividend",
      "word": "÷ ="
    },
    {
      "alt": "quotient",
      "english": "with remaining",
      "sense": "numerator) / (denominator) = (quotient",
      "word": "Or sometimes"
    },
    {
      "alt": "exponent",
      "english": "power",
      "sense": "exponentiation; base",
      "word": "="
    },
    {
      "roman": "radicand",
      "sense": "root extraction; degree",
      "tags": [
        "root"
      ],
      "word": "√ ="
    },
    {
      "alt": "antilogarithm",
      "english": "logarithm",
      "sense": "logarithmization",
      "word": "log(base) ="
    },
    {
      "word": "ln"
    },
    {
      "word": "characteristic"
    },
    {
      "word": "mantissa"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms derived from Ancient Greek",
        "English terms derived from Latin",
        "English terms derived from New Latin",
        "Entries with translation boxes",
        "Kannada terms with redundant script codes",
        "Mandarin terms with redundant transliterations",
        "Pages with 1 entry",
        "Pages with entries",
        "Sinhalese terms with redundant script codes",
        "Tamil terms with redundant script codes",
        "Terms with Arabic translations",
        "Terms with Armenian translations",
        "Terms with Bulgarian translations",
        "Terms with Burmese translations",
        "Terms with Catalan translations",
        "Terms with Czech translations",
        "Terms with Danish translations",
        "Terms with Dutch translations",
        "Terms with Esperanto translations",
        "Terms with Finnish translations",
        "Terms with French translations",
        "Terms with Galician translations",
        "Terms with Georgian translations",
        "Terms with German translations",
        "Terms with Greek translations",
        "Terms with Gujarati translations",
        "Terms with Hawaiian translations",
        "Terms with Hindi translations",
        "Terms with Hokkien translations",
        "Terms with Hungarian translations",
        "Terms with Icelandic translations",
        "Terms with Italian translations",
        "Terms with Japanese translations",
        "Terms with Kannada translations",
        "Terms with Khmer translations",
        "Terms with Korean translations",
        "Terms with Latin translations",
        "Terms with Latvian translations",
        "Terms with Macedonian translations",
        "Terms with Mandarin translations",
        "Terms with Maori translations",
        "Terms with Norwegian Bokmål translations",
        "Terms with Norwegian Nynorsk translations",
        "Terms with Ottoman Turkish translations",
        "Terms with Polish translations",
        "Terms with Portuguese translations",
        "Terms with Punjabi translations",
        "Terms with Romanian translations",
        "Terms with Russian translations",
        "Terms with Serbo-Croatian translations",
        "Terms with Shona translations",
        "Terms with Sinhalese translations",
        "Terms with Slovene translations",
        "Terms with Spanish translations",
        "Terms with Swedish translations",
        "Terms with Tagalog translations",
        "Terms with Tamil translations",
        "Terms with Thai translations",
        "Terms with Turkish translations",
        "Terms with Ukrainian translations",
        "Terms with Vietnamese translations",
        "Terms with Yiddish translations",
        "Vietnamese terms with redundant script codes",
        "en:Functions",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979."
        }
      ],
      "glosses": [
        "For a number x, the power to which a given base number must be raised in order to obtain x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "power",
          "power"
        ],
        [
          "base",
          "base"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a number x, the power to which a given base number must be raised in order to obtain x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "John Napier",
        "logarithm"
      ]
    }
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      ]
    }
  ],
  "synonyms": [
    {
      "word": "log"
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "ʔasīs",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "أَسِيس"
    },
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "lūḡāriṯm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "لُوغَارِثْم"
    },
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "logaritʻm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "լոգարիթմ"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "logaritǎm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "логаритъм"
    },
    {
      "code": "my",
      "lang": "Burmese",
      "roman": "lau.ga.racsam",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "လော့ဂရစ်သမ်"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritme"
    },
    {
      "code": "nan-hbl",
      "lang": "Chinese",
      "roman": "zh-min-nan",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "Hokkien"
      ],
      "word": "對數 /对数"
    },
    {
      "code": "nan-hbl",
      "lang": "Chinese",
      "roman": "zh-min-nan",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "Hokkien"
      ],
      "word": "對數 /对数"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "duìshù",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "對數 /对数"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritmus"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "common-gender"
      ],
      "word": "logaritme"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "neuter"
      ],
      "word": "logaritme"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "logaritmo"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "logaritmi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logarithme"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritmo"
    },
    {
      "code": "ka",
      "lang": "Georgian",
      "roman": "logaritmi",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ლოგარითმი"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "Logarithmus"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "logárithmos",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "λογάριθμος"
    },
    {
      "code": "gu",
      "lang": "Gujarati",
      "roman": "laghugṇak",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "લઘુગણક"
    },
    {
      "code": "haw",
      "lang": "Hawaiian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "huhui helu"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "laghugṇak",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "लघुगणक"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "logaritmus"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logri"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritmo"
    },
    {
      "alt": "たいすう",
      "code": "ja",
      "lang": "Japanese",
      "roman": "taisū",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "対数"
    },
    {
      "code": "kn",
      "lang": "Kannada",
      "roman": "percupaṭṭu",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ಪೆರ್ಚುಪಟ್ಟು"
    },
    {
      "code": "kn",
      "lang": "Kannada",
      "roman": "paṭṭēruka",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ಪಟ್ಟೇರುಕ"
    },
    {
      "code": "kn",
      "lang": "Kannada",
      "roman": "laghugaṇaka",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ಲಘುಗಣಕ"
    },
    {
      "code": "km",
      "lang": "Khmer",
      "roman": "lookaariit",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "លោការីត"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "rogeu",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "로그"
    },
    {
      "alt": "對數",
      "code": "ko",
      "lang": "Korean",
      "roman": "daesu",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "대수"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "logarithmus"
    },
    {
      "code": "lv",
      "lang": "Latvian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritms"
    },
    {
      "code": "mk",
      "lang": "Macedonian",
      "roman": "logarítam",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "логари́там"
    },
    {
      "code": "mi",
      "lang": "Maori",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "taupū kōaro"
    },
    {
      "code": "mi",
      "lang": "Maori",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "pūkōaro"
    },
    {
      "code": "nb",
      "lang": "Norwegian Bokmål",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritme"
    },
    {
      "code": "nn",
      "lang": "Norwegian Nynorsk",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritme"
    },
    {
      "code": "ota",
      "lang": "Ottoman Turkish",
      "roman": "logaritma",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "لوغاریتمه"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logarytm"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritmo"
    },
    {
      "code": "pa",
      "lang": "Punjabi",
      "roman": "laghūgṇak",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ਲਘੂਗਣਕ"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritm"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "logarífm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "логари́фм"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "Cyrillic",
        "masculine"
      ],
      "word": "логаритам"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "Roman",
        "masculine"
      ],
      "word": "logaritam"
    },
    {
      "code": "sn",
      "lang": "Shona",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "mhetapawa"
    },
    {
      "code": "sn",
      "lang": "Shona",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "davanharu"
    },
    {
      "code": "si",
      "lang": "Sinhalese",
      "roman": "laghu gaṇaka",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ලඝු ගණක"
    },
    {
      "code": "sl",
      "lang": "Slovene",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritem"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "logaritmo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "common-gender"
      ],
      "word": "logaritm"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "logpaulit"
    },
    {
      "code": "ta",
      "lang": "Tamil",
      "roman": "maṭakkai",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "மடக்கை"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "lɔɔ-gaa-rí-tʉm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "ลอการิทึม"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "logaritma"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "loharýfm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "логари́фм"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "loharýtm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "логари́тм"
    },
    {
      "alt": "對數",
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "đối số"
    },
    {
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "lôga"
    },
    {
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "lôgarit"
    },
    {
      "code": "vi",
      "lang": "Vietnamese",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "lô-ga-rít"
    },
    {
      "code": "yi",
      "lang": "Yiddish",
      "roman": "logaritm",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "masculine"
      ],
      "word": "לאָגאַריטם"
    }
  ],
  "word": "logarithm"
}

Download raw JSONL data for logarithm meaning in English (17.8kB)

{
  "called_from": "form_descriptions/2013",
  "msg": "more than one value in \"roman\": tùi-sò͘ vs. zh-min-nan",
  "path": [
    "logarithm"
  ],
  "section": "English",
  "subsection": "noun",
  "title": "logarithm",
  "trace": ""
}

{
  "called_from": "form_descriptions/2013",
  "msg": "more than one value in \"roman\": Taiwanese vs. tuì-siàu",
  "path": [
    "logarithm"
  ],
  "section": "English",
  "subsection": "noun",
  "title": "logarithm",
  "trace": ""
}

{
  "called_from": "form_descriptions/2013",
  "msg": "more than one value in \"roman\": tuì-siàu vs. zh-min-nan",
  "path": [
    "logarithm"
  ],
  "section": "English",
  "subsection": "noun",
  "title": "logarithm",
  "trace": ""
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-15 from the enwiktionary dump dated 2025-01-01 using wiktextract (b941637 and 4230888). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.