different between logarithm vs logarithmically

English

Etymology

From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek ????? (lógos, “word, reason”) and ??????? (arithmós, “number”); compare rational number, from analogous Latin.

Pronunciation

• (US) IPA^(key): /?l?.??.??.ð(?)m/, /?l????.??.ð?m/, /?l??.?.??ðm/, /?l??.??.??ðm/
• Hyphenation: log?a?ri?thm

Noun

logarithm (plural logarithms)

1. (mathematics) For a number ${\displaystyle x}$, the power to which a given base number must be raised in order to obtain ${\displaystyle x}$. Written ${\displaystyle \log _{b}x}$. For example, ${\displaystyle \log _{10}1000=3}$ because ${\displaystyle 10^{3}=1000}$ and ${\displaystyle \log _{2}16=4}$ because ${\displaystyle 2^{4}=16}$.

   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.

Synonyms

• log

Derived terms

Translations

See also

• ln
• characteristic
• mantissa

Anagrams

• algorithm, mithralog

English

Etymology

logarithmic +? -ally

Adverb

logarithmically (not comparable)

1. In a logarithmic manner.

   Decibels increase logarithmically.

Related terms

• logarithm
• logarithmic

Anagrams

• algorithmically