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I ran into the following question:

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what happens when you apply logarithm transformation to a data?

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    $y=cx^n\implies \ln y=n\ln x + \ln c$. So any power law becomes a linear equation in logarithms, so the best possible values of $c$ and $n$ can be solved for by least squares methods or other similar things, which is normally much easier than estimating values directly from the original data.2012-10-27

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