# logarithm

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## log·a·rithm

(lô′gə-rĭth′əm, lŏg′ə-)
n. Mathematics
The power to which a base, such as 10, must be raised to produce a given number. If nx = a, the logarithm of a, with n as the base, is x; symbolically, logn a = x. For example, 103 = 1,000; therefore, log10 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).

[New Latin logarithmus : Greek logos, reason, proportion; see leg- in Indo-European roots + Greek arithmos, number; see ar- in Indo-European roots.]

## logarithm

(ˈlɒɡəˌrɪðəm)
n
(Mathematics) 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 ax = M, then the logarithm of M to the base a (written logaM) is x. Often shortened to: log See also common logarithm, natural logarithm
[C17: from New Latin logarithmus, coined 1614 by John Napier, from Greek logos ratio, reckoning + arithmos number]

## log•a•rithm

(ˈlɔ gəˌrɪð əm, -ˌrɪθ-, ˈlɒg ə-)

n.
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).
[1605–15; < New Latin logarithmus < Greek log- log- + arithmós number; see arithmetic]

## log·a·rithm

(lô′gə-rĭth′əm)
The power to which a base must be raised to produce a given number. For example, if the base is 10, then 3 is the logarithm of 1,000 (written log 1,000 = 3) because 103 = 1,000.

## logarithm

- From Greek logos, "reckoning, ratio," and arithmos, "number."
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 logarithm - the exponent required to produce a given numberlogexponent, index, power - a mathematical notation indicating the number of times a quantity is multiplied by itselfcommon logarithm - a logarithm to the base 10Napierian logarithm, natural logarithm - a logarithm to the base e
Translations
لوغاريثْم
logaritmus
logaritme
logaritmi
logaritam
logaritmus
lógaritmi
logaritmas
logaritms
logaritmus
logaritm
ลอการิทึม

[ˈlɒgərɪθəm] N

## logarithm

[ˈlɒgərɪðəm] nlog book n
(formerly) (= registration document) [car] → carte grise
[traveller, explorer] → carnet m de route; [lorry driver] → carnet m de route
[movement of goods] → log cabin nlog fire n

nLogarithmus m

## logarithm

[ˈlɒgəˌrɪðm] nlogaritmo
common logarithm →

## logarithm

(ˈlogəriðəm) noun
(abbreviated to log (log) ) the number of times eg 10 must be multiplied by itself to produce a particular number. 10  10  10 or 103 = 1,000, so 3 is here the logarithm of 1,000.
References in periodicals archive ?
Anyone who is of my generation, and I believe the lady with the Italian first name qualifies for this, will have marvelled at Mr Napier's logarithm tables.
Napier's logarithm was not defined in terms of exponents as our logarithm is today.
This was a particular technological thrust to English mathematics, which we might see as continuing in the seventeenth century with Napier's logarithms.

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