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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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adv.1.logarithmically - in a logarithmic manner; "data plotted logarithmically with respect to time is shown in Figure 2"
References in periodicals archive ?
Each sample was tested in singlet; reactive samples were diluted 1:16 and logarithmically from [10.
While previously utilizing US applications described in traditional imaging environments, the number of research studies in POCUS has grown logarithmically.
Gain, which is measured logarithmically in decibels, similar to how earthquake intensity is measured on the Richter scale, describes the ability of an amplifier to increase the power of a signal from the input to the output.
The number is growing logarithmically as Indians are using increasingly brutal methods to suppress the people of IOK and their legal struggle for freedom.
The direction of the regression coefficients suggests that HA increases logarithmically with increasing crowd size, increases linearly with increasing crowd density, and is less in stadia where crowds are further from the playing field.
This challenges the idea that mammalian brains perceive numbers logarithmically and may help researchers better understand how human beings process numbers.
where the loop integral is logarithmically UV divergent [varies] log(1/r) as the cut-off radius r [right arrow] 0.
This realignment occurs again with cooling after assembly and the passage of time, so much so that its dielectric constant changes logarithmically.
Because of the over-dispersed nature of ticks, the tick-drag results were logarithmically transformed [log (x + 1)] (Petney et al.
In that case, using the value of 50 deaths per 100,000 person-years in 1983 and the value of about 2 in 2002 gives a suppression rate of more than 25-fold--"more than" because cancer incidence increases logarithmically with age, so the death rate should have increased with time, rather than decreasing.
Here, ideas are plotted on a graph where income in a hypothetical future year is plotted logarithmically against the composite IRL index.