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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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.


(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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014


(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.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.logarithmic - of or relating to or using logarithms; "logarithmic function"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.


Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
References in periodicals archive ?
The logarithmic relationship between length and weight of males, females and pooled population of P obscura together with correlation coefficient is depicted in Table 1 and Figures 3-5 respectively.
It also can deal with a logarithmic relationship between two variables--something not captured by any of the original 27 linear equations.
The logarithmic relationship between the HP and MEI were calculated using the following regression [5]:
Quantitatively, the Weber-Fechner law states that a noticeable change in the human sensation of brightness has a logarithmic relationship, not a linear one.
Variations of breaking force [F.sub.z] in the function of tensile speed [V.sub.r] can be described by logarithmic relationship:
By many observations, we find that there exists a logarithmic relationship between the ACER and the PSNR quality of the decoded image.
(3) Essentially, Dk is assumed to have a logarithmic relationship to frequency, and a value for Dk and Df at one frequency determines the slope of Dk graphed across a spectrum, from which Df at other frequencies can be computed.
And not only does it change, it does so not in a linear or proportional manner, but in a logarithmic relationship to the shear rate.
(He went on to suggest a revised, logarithmic relationship, calling this revision the Fechner-Weber Law.)
Following interpretation of the results the authors identified a logarithmic relationship between iron absorption and polyphenol consumption with the highest polyphenol containing beverage (black tea) reducing absorption by 90%; while beverages with low polyphenol content (herbal teas) hindered absorption by just 30% (Hurrell 1999).
A dollar relationship with square feet is interpreted differently than a logarithmic relationship.
The response of the LDR sensor with respect to the concentration of the tracer was calibrated using a set of slight dark film, obtaining a logarithmic relationship. Thus the signal enhances any disturbance, if present, particularly in the tall-region of the curves.