# logarithm

[ law-guh-rith-uh m, -rith-, log-uh- ]

/ ˈlɔ gəˌrɪð əm, -ˌrɪθ-, ˈlɒg ə- /

### noun Mathematics.

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).

## RELATED WORDS

numeral, numerical, arithmetic, binary, exponent, fraction, fractional, integral, mathematical, statistical, algebraic, algorithmic, arithmetical, differential, digital, exponential, logarithmic, numerary, integrated

## Nearby words

- logania family,
- loganiaceous,
- logansport,
- logaoedic,
- logaphasia,
- logarithmic,
- logarithmic function,
- logasthenia,
- logbook,
- loge

## Origin of logarithm

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Examples from the Web for logarithm

## logarithm

/ (ˈlɒɡəˌrɪðəm) /

### noun

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 xOften shortened to: log See also common logarithm, natural logarithm

## Word Origin for logarithm

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

## logarithm

1610s, Modern Latin logarithmus, coined by Scottish mathematician John Napier (1550-1617), literally "ratio-number," from Greek logos "proportion, ratio, word" (see logos) + arithmos "number" (see arithmetic).

Online Etymology Dictionary, © 2010 Douglas Harper

## logarithm

[ lô′gə-rĭð′əm ]

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.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.