# logarithm

[ law-guh-rith-uhm, -rith-, log-uh- ]
See synonyms for logarithm on Thesaurus.com
nounMathematics.
1. the exponent of the power to which a base number must be raised to equal a given number; log: 2 is the logarithm of 100 to the base 10 (2 = log10 100).

## Origin of logarithm

1
1605–15; <New Latin logarithmus<Greek lóg(os) log- + arithmós number; see arithmetic

## Words Nearby logarithm

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use logarithm in a sentence

• The logarithm of the number is then obtained by adding the previously calculated logarithms of the factors.

William Oughtred | Florian Cajori
• What is the probability that the fifth decimal of a logarithm taken at random from a table is a '9'?

• We can calculate our logarithm without recourse to the table, but we do not wish to give ourselves the trouble.

• In July, while at work on logarithm tables, he was overtaken by a sudden fainting fit, evidently of an epileptic nature.

Shandygaff | Christopher Morley

## British Dictionary definitions for logarithm

logarithm

/ (ˈlɒɡəˌrɪðəm) /

noun
1. the exponent indicating the power to which a fixed number, the base, must be raised to obtain a given number or variable. It is used esp to simplify multiplication and division: if a x = M, then the logarithm of M to the base a (written log a M) is x: Often shortened to: log See also common logarithm, natural logarithm

## Origin of logarithm

1
C17: from New Latin logarithmus, coined 1614 by John Napier, from Greek logos ratio, reckoning + arithmos number

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for logarithm

logarithm

[ gə-rĭð′əm ]

1. The power to which a base must be raised to produce a given number. For example, if the base is 10, then the logarithm of 1,000 (written log 1,000 or log10 1,000) is 3 because 103 = 1,000. See more at common logarithm natural logarithm.