logarithm

English dictionary entry

Meanings

noun

For a number x, the exponent by which a given base number must be raised in order to obtain the power x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16.

Pronunciation

/ˈlɒɡ.ə.ɹɪ.ð(ə)m/ /ˈlɔɡ.ə.ɹɪ.ð(ə)m/ LL-Q1860 (eng)-Vealhurl-logarithm.wav /ˈlɑ.ɡə.ɹɪ.ð(ə)m/ /ˈlɑ.ɡəɹ.ɹɪ.ðəm/ /ˈlɑɡ.ə.ɹɪðm/ /ˈlɑɡ.əɹ.ɹɪðm/

Word forms

logarithm logarithms

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.

Synonyms

log

Related words

successor ln characteristic mantissa + = + +... = − = × = × ×... = ÷ = Or sometimes = √ = log(base) =

Derived words

antilogarithm binary logarithm Briggsian logarithm Briggs logarithm cologarithm common logarithm dilogarithm log logarithmal logarithmancy logarithmic logarithmisation logarithmise logarithmize mesologarithm Naperian logarithm Napierian logarithm natural logarithm polylogarithm superlogarithm ternary logarithm trilogarithm

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