"logarithm" meaning in All languages combined

See logarithm on Wiktionary

Noun [English]

IPA: /ˈlɑ.ɡə.ɹɪ.ð(ə)m/ [US], /ˈlɑɡəɹ.ɹɪ.ðəm/ [US], /ˈlɑɡ.ə.ɹɪðm/ [US], /ˈlɑɡ.əɹ.ɹɪðm/ [US] Audio: LL-Q1860 (eng)-Vealhurl-logarithm.wav [Southern-England] Forms: logarithms [plural]
Etymology: From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek λόγος (lógos, “word, reason”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin. Etymology templates: {{der|en|NL.|logarithmus}} New Latin logarithmus, {{der|en|grc|λόγος||word, reason}} Ancient Greek λόγος (lógos, “word, reason”), {{m|grc|ἀριθμός||number}} ἀριθμός (arithmós, “number”), {{m|en|rational number}} rational number, {{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 (logaritʿm) (Armenian), логаритъм (logaritǎm) [masculine] (Bulgarian), လော့ဂရစ်သမ် (lau.ga.racsam) (Burmese), logaritme [masculine] (Catalan), 對數 [Hokkien] (Chinese), 对数 (zh-min-nan) [Hokkien] (Chinese), 對數 (Chinese Mandarin), 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, English entries with topic categories using raw markup, Kannada terms with redundant script codes, Mandarin terms with redundant transliterations, Sinhalese terms with redundant script codes, Tamil terms with redundant script codes, 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

Download JSON data for logarithm meaning in All languages combined (17.3kB)

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  "etymology_text": "From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek λόγος (lógos, “word, reason”) and ἀριθμός (arithmós, “number”); compare rational number, from analogous Latin.",
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          "word": "antilogarithm"
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          "word": "binary logarithm"
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          "word": "Briggsian logarithm"
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        {
          "word": "Briggs logarithm"
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        {
          "word": "common logarithm"
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          "word": "log"
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        {
          "word": "logarithmancy"
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        {
          "word": "logarithmic"
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          "word": "Naperian logarithm"
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          "word": "Napierian logarithm"
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        {
          "word": "natural logarithm"
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          "word": "ternary logarithm"
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        {
          "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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        "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) 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"
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        {
          "word": "ln"
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        {
          "word": "characteristic"
        },
        {
          "word": "mantissa"
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        {
          "alt": "augend",
          "english": "addend; total",
          "sense": "addition, summation",
          "word": "+ ="
        },
        {
          "alt": "summand",
          "english": "sum",
          "sense": "addition, summation",
          "word": "+ +... ="
        },
        {
          "english": "difference",
          "roman": "subtrahend",
          "sense": "subtraction",
          "word": "− ="
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        {
          "english": "product",
          "roman": "multiplicand",
          "sense": "multiplication, factorization; multiplier",
          "word": "× ="
        },
        {
          "english": "factor; factor; product",
          "sense": "multiplication, factorization; factor",
          "word": "× ×... ="
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          "sense": "division; dividend",
          "word": "÷ ="
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          "sense": "numerator) / (denominator) = (quotient",
          "word": "Or sometimes"
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        {
          "alt": "exponent",
          "english": "power",
          "sense": "exponentiation; base",
          "word": "="
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        {
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          "sense": "root extraction; degree",
          "tags": [
            "root"
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          "word": "√ ="
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          "alt": "antilogarithm",
          "english": "logarithm",
          "sense": "logarithmization",
          "word": "log(base) ="
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          "word": "log"
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      ],
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        "sciences"
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        {
          "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": "logaritʿm",
          "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",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "tags": [
            "Hokkien"
          ],
          "word": "對數"
        },
        {
          "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": "对数"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "The power to which a given base number must be raised in order to obtain a given number",
          "word": "對數"
        },
        {
          "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": "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": "/ˈlɑ.ɡə.ɹɪ.ð(ə)m/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡəɹ.ɹɪ.ðəm/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡ.ə.ɹɪðm/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡ.əɹ.ɹɪðm/",
      "tags": [
        "US"
      ]
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-logarithm.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/07/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/07/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav.ogg",
      "tags": [
        "Southern-England"
      ],
      "text": "Audio (Southern England)"
    }
  ],
  "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, reason"
      },
      "expansion": "Ancient Greek λόγος (lógos, “word, reason”)",
      "name": "der"
    },
    {
      "args": {
        "1": "grc",
        "2": "ἀριθμός",
        "3": "",
        "4": "number"
      },
      "expansion": "ἀριθμός (arithmós, “number”)",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "rational number"
      },
      "expansion": "rational number",
      "name": "m"
    },
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "-"
      },
      "expansion": "Latin",
      "name": "der"
    }
  ],
  "etymology_text": "From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek λόγος (lógos, “word, reason”) 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 3-syllable words",
        "English 4-syllable words",
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English nouns",
        "English terms derived from Ancient Greek",
        "English terms derived from Latin",
        "English terms derived from New Latin",
        "English terms with IPA pronunciation",
        "English terms with audio links",
        "Kannada terms with redundant script codes",
        "Mandarin terms with redundant transliterations",
        "Sinhalese terms with redundant script codes",
        "Tamil terms with redundant script codes",
        "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"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˈlɑ.ɡə.ɹɪ.ð(ə)m/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡəɹ.ɹɪ.ðəm/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡ.ə.ɹɪðm/",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈlɑɡ.əɹ.ɹɪðm/",
      "tags": [
        "US"
      ]
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-logarithm.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/07/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/07/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav/LL-Q1860_%28eng%29-Vealhurl-logarithm.wav.ogg",
      "tags": [
        "Southern-England"
      ],
      "text": "Audio (Southern England)"
    }
  ],
  "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": "logaritʿm",
      "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",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "Hokkien"
      ],
      "word": "對數"
    },
    {
      "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": "对数"
    },
    {
      "code": "nan-hbl",
      "lang": "Chinese",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "tags": [
        "Hokkien"
      ],
      "word": "對數"
    },
    {
      "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": "对数"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "The power to which a given base number must be raised in order to obtain a given number",
      "word": "對數"
    },
    {
      "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": "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.