logarithm

logarithm - English

Pronunciation

  • (US) IPA: /ˈlɑ.ɡə.ɹɪ.ð(ə)m/, /ˈlɑɡəɹ.ɹɪ.ðəm/, /ˈlɑɡ.ə.ɹɪðm/, /ˈlɑɡ.əɹ.ɹɪðm/
  • Hyphenation: log‧a‧ri‧thm

Noun

logarithm (plural logarithms)

  1. (mathematics) For a number x {\displaystyle x} , the power to which a given base number must be raised in order to obtain x {\displaystyle x} . Written log b x {\displaystyle \log _{b}x} . For example, log 10 1000 = 3 {\displaystyle \log _{10}1000=3} because 10 3 = 1000 {\displaystyle 10^{3}=1000} and log 2 16 = 4 {\displaystyle \log _{2}16=4} because 2 4 = 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-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979.

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Meaning and Definition of logarithm
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