# logarithm

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Related to logarithm: natural logarithm

## 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 classic literature ?
All human actions will then, of course, be tabulated according to these laws, mathematically, like tables of logarithms up to 108,000, and entered in an index; or, better still, there would be published certain edifying works of the nature of encyclopaedic lexicons, in which everything will be so clearly calculated and explained that there will be no more incidents or adventures in the world.
I, for instance, would not be in the least surprised if all of a sudden, a propos of nothing, in the midst of general prosperity a gentleman with an ignoble, or rather with a reactionary and ironical, countenance were to arise and, putting his arms akimbo, say to us all: "I say, gentleman, hadn't we better kick over the whole show and scatter rationalism to the winds, simply to send these logarithms to the devil, and to enable us to live once more at our own sweet foolish will
But it is best not to be intimate with gentlemen of this profession and to take the calculations at second hand, as you do logarithms, for to work them yourself, depend upon it, will cost you something considerable.
The intercept of this variable is too small because the logarithm transformation was not applied on it.
The dependent variable is the ratio of investment to capital stock, but very similar results obtain when the dependent variable is the logarithm of overall gross investment.
For better comparison, results of equivalent viscous damping were fitted using logarithm and square methods and since fitness using square method had higher correlation coefficient, results of damping were compared with this method and it was found that increasing wall crater without changing design of boundary elements cause damping to decrease in constant deformability coefficient.
Natural logarithm of deposits is positively related to the total expenses of a bank for each year in the sample and the relationship is statistically significant in all years except for the year 2009.
Using the natural logarithm for financial data is an established method (Wicker, 2011) and is in accordance with the above mentioned studies (e.
The study was themed: (Workplace planning logarithms in a multipurpose artificial colony of bees).
Frustratingly, most calculators do not have a base n logarithm function, although this is beginning to change with new models (4).
The evaluation of representative sets of clinical specimens spanning at least 3 logarithms of detectable residual disease in both local and IS reference laboratories has provided an important proof of principle by significantly improving MMR concordance rates in about 50% of BCR-ABL1 testing laboratories (10, 11).
X) and call it the combinatorial logarithm (iii), by analogy with the fact that, in analysis, the power series of log(1 + X) is the substitutional inverse of that of exp(X) - 1.

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