# logarithm

noun
log·​a·​rithm | \ ˈlȯ-gə-ˌri-t͟həm , ˈlä- \

## Definition of logarithm

: the exponent that indicates the power to which a base number is raised to produce a given number the logarithm of 100 to the base 10 is 2

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## Other Words from logarithm

logarithmic \ ˌlȯ-​gə-​ˈrit͟h-​mik , ˌlä-​ \ adjective
logarithmically \ ˌlȯ-​gə-​ˈrit͟h-​mi-​k(ə-​)lē , ˌlä-​ \ adverb

## Examples of logarithm in a Sentence

Recent Examples on the Web Estimates that are widely accepted in the field of cryptography predict that the larger size logarithm should be about 2.25 times harder to compute. The logarithm function is well-known in the non-linear scales for energy released during earthquakes (Richter) or for measuring sound (decibels). The same team of researchers also computed a discrete logarithm of the same size. Other encryption algorithms base their security on the difficulty of solving certain discrete logarithm problems. As a refresher: log is short for logarithm, which helps people decipher exponents that make numbers squared or cubed or even something higher. Information theory says that the optimal encoding makes the length of each symbol (in bits) proportional to the negative logarithm of its probability. And in her hyper-active mind there is no boundary between mathematic logarithms and the poetry of music. Like logarithms, or the zero, or exponential functions.

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'logarithm.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

## First Known Use of logarithm

circa 1616, in the meaning defined above

## History and Etymology for logarithm

New Latin logarithmus, from log- + Greek arithmos number — more at arithmetic

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Time Traveler for logarithm

## The first known use of logarithm was circa 1616

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## Dictionary Entries near logarithm

logarithmic function

## Statistics for logarithm

Last Updated

17 Mar 2020

Cite this Entry

“Logarithm.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/logarithm. Accessed 3 Apr. 2020.

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More Definitions for logarithm

logarithm

noun

## English Language Learners Definition of logarithm

mathematics : a number that shows how many times a base number (such as ten) is multiplied by itself to produce a third number (such as 100)

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More from Merriam-Webster on logarithm

Spanish Central: Translation of logarithm

Britannica.com: Encyclopedia article about logarithm

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