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# logarithm

[law-guh-rith-uh m, -rith-, log-uh-]
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noun Mathematics.
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 .css-1fxfie5{font-size:22px;}@media (max-width:768px){.css-1fxfie5{font-size:18px;margin:0 10px 10px 0;word-break:break-all;word-wrap:break-word;-webkit-hyphens:auto;-moz-hyphens:auto;-ms-hyphens:auto;hyphens:auto;line-height:22px;}}logarithm

1605–15; < New Latin logarithmus < Greek lóg(os) log- + arithmós number; see arithmetic
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for logarithm

### Historical Examples

• #### That was short for logarithm, you know, because I was such a log at arithmetic.

F. Marion Crawford

• #### The complement of the logarithm of a sine, tangent, or secant.

The Sailor's Word-Book

William Henry Smyth

• #### For example, suppose the logarithm of 543839 required to twelve places.

British Dictionary definitions for logarithm

# logarithm

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

## Word Origin

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

## Word Origin and History forlogarithm

### n.

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 in Science

# logarithm

[lôgə-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.