log·​a·​rithm | \ ˈlȯ-gə-ˌri-t͟həm How to pronounce logarithm (audio) , 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 How to pronounce logarithmic (audio) , ˌlä-​ \ adjective
logarithmically \ ˌlȯ-​gə-​ˈrit͟h-​mi-​k(ə-​)lē How to pronounce logarithmically (audio) , 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. Dan Goodin, Ars Technica, "New crypto-cracking record reached, with less help than usual from Moore’s Law," 3 Dec. 2019 The logarithm function is well-known in the non-linear scales for energy released during earthquakes (Richter) or for measuring sound (decibels). Christian Yates, Quartz, "Your dog may be older than you think," 4 Dec. 2019 The same team of researchers also computed a discrete logarithm of the same size. Dan Goodin, Ars Technica, "New crypto-cracking record reached, with less help than usual from Moore’s Law," 3 Dec. 2019 Other encryption algorithms base their security on the difficulty of solving certain discrete logarithm problems. Dan Goodin, Ars Technica, "New crypto-cracking record reached, with less help than usual from Moore’s Law," 3 Dec. 2019 As a refresher: log is short for logarithm, which helps people decipher exponents that make numbers squared or cubed or even something higher. David Grossman, Popular Mechanics, "This Guy Just Found a Faster Way to Multiply," 18 Oct. 2019 Information theory says that the optimal encoding makes the length of each symbol (in bits) proportional to the negative logarithm of its probability. Timothy B. Lee, Ars Technica, "Inventor says Google is patenting work he put in the public domain," 10 June 2018 And in her hyper-active mind there is no boundary between mathematic logarithms and the poetry of music. David Lyman, Cincinnati.com, "Review: Ada and the Engine inspiring, absorbing and heartbreaking," 14 Apr. 2018 Like logarithms, or the zero, or exponential functions. Kevin Hartnett, Scientific American, "The Hidden Depth in Math’s Simple Puzzles," 17 Jan. 2018

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.

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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

Time Traveler

The first known use of logarithm was circa 1616

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Statistics for logarithm

Cite this Entry

“Logarithm.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/logarithm. Accessed 9 Jul. 2020.

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More Definitions for logarithm


How to pronounce logarithm (audio)

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

Nglish: Translation of logarithm for Spanish Speakers

Britannica.com: Encyclopedia article about logarithm

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