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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.
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
log•a•rith•mic(ˌlɔ gəˈrɪð mɪk, ˌlɒg ə-)
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.
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|Adj.||1.||logarithmic - of or relating to or using logarithms; "logarithmic function"|