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A logarithm is the power to which a number is raised get another number. For example, take the equation 102 = 100; The superscript “2” here can be expressed as an exponent (102 = 100) or as a base 10 logarithm:

Logarithms in Statistics

Now and then you’ll come across a logarithm or two in stats, although they aren’t widely used. If you’ve worked with logarithms before (perhaps in algebra), you may remember having to rearrange logs and solve some pretty complex equations like log2(x) + log2(x-2) = 3. You probably won’t see these types of equations in elementary statistics, but you might see the occasional use of a log like log2.

In more advanced statistical analysis, logistic regression and Cox regression use logarithmic coefficients. Some distributions, like the reciprocal distribution or the lognormal distribution, use logarithms in their pdfs.


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