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 (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.]

log′a·rith′mic (-rĭth′mĭk), log′a·rith′mi·cal (-mĭ-kəl) adj.
log′a·rith′mi·cal·ly adv.


(ˌlɒɡəˈrɪðmɪk) or


1. (Mathematics) of, relating to, using, or containing logarithms of a number or variable
2. (Mathematics) consisting of, relating to, or using points or lines whose distances from a fixed point or line are proportional to the logarithms of numbers
Abbreviation: log
ˌlogaˈrithmically adv


(ˌlɔ gəˈrɪð mɪk, ˌlɒg ə-)

also log`a•rith′mi•cal,

1. pertaining to a logarithm or logarithms.
2. (of an equation) having a logarithm as one or more of its unknowns.
3. (of a function)
a. pertaining to the function y= log x.
b. expressible by means of logarithms.
log`a•rith′mi•cal•ly, adv.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.logarithmic - of or relating to or using logarithms; "logarithmic function"


References in periodicals archive ?
The static and dynamic moduli, the hysteresis losses and the logarithmic decrement were measured on a Yerzley mechanical oscillograph AYO-IV in accordance with ASTM D-945.
The coefficients of the logarithmic decrement of damping for the obtained dependences of the oscillation amplitude of mass of the vibroprotection system with the elastic element and ECDM versus time (Fig.
The models Midilli, Logarithmic and Wang & Singh had coefficients of determination ([R.sup.2]) higher than 99%, mean estimated error (SE) below 0.0097 and chi-square test ([chi square]) lower than 9.4 x [10.sup.-5], for the drying conditions (Table 2).
Logarithmic spiral defines Galaxie[R] as an independent gearbox generation
In the recent paper [6] published in this journal, Shin-ya Koyama studied the existence of a subset E in [R.sub.[greater than or equal to]2] with finite logarithmic measure such that
In order to make some progress with functions of order zero, Chern introduced the concept of logarithmic order in [4].
In the presence of logarithmic entropy, [[??].sub.tot] can be obtained by using (22) and (31):
His topics are basic objects and main results, flows and logarithmic derivation relative to X under orthogonal projections, the density formula, partial integration, and the relative compactness of a particle system.
An alternative method to estimate [NE.sub.m] is to feed animals at several levels of feed intake to build the logarithmic regression between heat production (HP) and metabolizable energy intake (MEI) [5].
The plates are therefore optimal for applications for which only a slight logarithmic temperature difference and, in turn, a higher NTU value, are expected.