## logarithm

log·a·rithmMath. the exponent expressing the power to which a fixed number (the

*base*) must be raised in order to produce a given number (the*antilogarithm*): logarithms computed to the base 10 are often used for shortening mathematical calculationsOrigin of logarithm

Modern Latin*logarithmus*; from Classical Greek

*logos*, a word, proportion, ratio (see logic) +

*arithmos*, number (see arithmetic)

## logarithm

noun

*Mathematics*

The power to which a base, such as 10, must be raised to produce a given number. If

*n*the logarithm of^{x}= a,*a,*with*n*as the base, is*x;*symbolically, log*For example, 10*_{n}a = x.^{3}= 1,000; therefore, log_{10}1,000 = 3. The kinds most often used are the common logarithm (base 10), the natural logarithm (base*e*), and the binary logarithm (base 2).Origin of logarithm

New Latin*logarithmus*: Greek

*logos*,

*reason, proportion*; see

*leg-*in Indo-European roots + Greek

*arithmos*,

*number*; see

*ar-*in Indo-European roots.

*Related Forms:*

**log′a·rith′mic**,**log′a·rith′mi·cal**adjective

**log′a·rith′mi·cal·ly**adverb

## logarithm

Noun

(*plural* logarithms)

- (mathematics) For a number , the power to which a given
*base*number must be raised in order to obtain . Written . For example, because and because .*For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10***logarithm**from one denomination to the next higher is either 0.3010 or 0.3979.

Origin

From New Latin *logarithmus*, term coined by Scot mathematician John Napier from Ancient Greek *Î»ÏŒÎ³Î¿Ï‚* (logos, “word, reason") and *á¼€ÏÎ¹Î¸Î¼ÏŒÏ‚* (arithmos, “number").

## logarithm - Computer Definition

See log.