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logarithm

From Wiktionary, the free dictionary

English

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EnglishWikipedia has an article on:
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Etymology

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FromNew Latinlogarithmus, term coined by Scottish mathematicianJohn Napier fromAncient Greekλόγος(lógos,word, reckoning) andἀριθμός(arithmós,number); comparerational number, from analogousLatin.

Pronunciation

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  • (UK)IPA(key): /ˈlɒɡ.ə.ɹɪ.ð(ə)m/,/ˈlɔɡ.ə.ɹɪ.ð(ə)m/
  • (US)IPA(key): /ˈlɑ.ɡə.ɹɪ.ð(ə)m/,/ˈlɑ.ɡəɹ.ɹɪ.ðəm/,/ˈlɑɡ.ə.ɹɪðm/,/ˈlɑɡ.əɹ.ɹɪðm/
  • (Canada)IPA(key): /ˈlɑ.ɡə.ɹɪ.ð(ə)m/
  • Hyphenation:log‧a‧ri‧thm

Noun

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logarithm (plurallogarithms)

  1. (mathematics) For a numberx{\displaystyle x}, theexponent by which a givenbase number must be raised in order to obtain thepowerx{\displaystyle x}. Writtenlogbx{\displaystyle \log _{b}x}. For example,log101000=3{\displaystyle \log _{10}1000=3} because103=1000{\displaystyle 10^{3}=1000} andlog216=4{\displaystyle \log _{2}16=4} because24=16{\displaystyle 2^{4}=16}.
    For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10logarithm from one denomination to the next higher is either 0.3010 or 0.3979.

Synonyms

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Derived terms

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Translations

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The power to which a given base number must be raised in order to obtain a given number

See also

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Other terms used inarithmetic operations:

Advancedhyperoperations:tetration,pentation,hexation

Anagrams

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