Log-log graph

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A log-log plot of y=x (green), y=x^2 (blue), and y=x^3 (red). Note the logarithmic scale markings on each of the axes.
A log-log plot of y=x (green), y=x^2 (blue), and y=x^3 (red). Note the logarithmic scale markings on each of the axes.

In science and engineering, a log-log graph or log-log plot is a way of visualizing data that is changing with a power law. Both horizontal and vertical axis are plotted on a logarithmic scale. All functions of the form y = axb form straight lines (where b determines the slope and a determines the x=1 intercept), since taking logs of both sides is equal to

\log(y) = b\log(x) + \log(a)\,\!

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