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

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 An economic adviser talked up the country’s technological achievements, which include the publication of an early volume of logarithm tables. Leo Mirani, The New Yorker, "Telling Slovenia and Slovakia Apart," 29 May 2017 Salguero: The bike is, theoretically, according to all our logging and logarithms and stuff, capable of over 160 mph. Wes Siler, WIRED, "Q&A: How an Electric Motorcycle Made Record Time," 9 Aug. 2011 But GAMs can also handle trickier relationships by finding multiple operations that together can massage data to fit on a regression line: squaring a set of numbers while taking the logarithm for another group of variables, for example. Paul Voosen, Science | AAAS, "How AI detectives are cracking open the black box of deep learning," 6 July 2017

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

The first known use of logarithm was circa 1616

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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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