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If a number, x, is expressed as a power of another number, y, that is, if x = yn, then n is said to be the logarithm of x to base y. Common logarithms are to the base 10; natural or Napierian logarithms are to the base e, a mathematical constant.
[G. logos, word, ratio, + arithmos, number]


a mathematical device.

common logarithm
the value of the power when a number is expressed as to the power of 10 (has the base 10). Thus 100 expressed as to the power of 10 is 102 and the log of 100 is 2.
Napierian logarithm
see natural logarithm (below).
natural logarithm
as for common logarithm, except that the base is e or 2.178. Called also Napierian logarithm.
References in periodicals archive ?
The indifference points of individual participants were fit using Equation 2, (7) and the resulting h values were then transformed logarithmically.
Reporting of absolute and/or logarithmically transformed HR and BF data relating to heteroscedascity is highlighted within the paper.
4] stand for the nonlinear functions of the respective logarithmically transformed covariates.
Because CRP and ESR were not normally distributed, they were logarithmically transformed, and we used linear regression analysis.
Data from the greenhouse samples were logarithmically (x+1) transformed prior to analysis in order to stabilize the variance.
The fitted regression curves of fluorimetric regions yielded logarithmically flattening shapes (because of quenching by inner filter effects), but still showed trends of increasing aromatic properties, as also obtained by FT-IR spectroscopy.
This third-party endorsement is logarithmically as effective as any advertising message.
If you consider the cost of an assembly increases logarithmically as the board travels down the line, when you start putting on chips, reflowing and testing, then printer investments include the cost of the bare board, solder paste and stencil.
The PCR technique, developed in 1983 by Kary Mullis, not only targets specific genetic sequences, but also amplifies them logarithmically until the product of this amplification reaction is substantial enough to be visualised on a macroscopic level.
For example: -- Users can emulate a mobile device passing by a base station by setting packet loss to vary logarithmically with time.
The outcome of the multivariate regression analysis using the logarithmically transformed costs data is shown in Table IV.
One idea presented in this regard is that knowledge is logarithmically related to information.