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Log–log plot

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In science and engineering, a log-log graph or log-log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Because of the nonlinear scaling of the axes, a function of the form will appear as a straight line on a log-log graph, in which b will be the slope of the line (gradient) and a will be the y value corresponding to x=1. These graphs are useful when the parameters a and b need to be estimated from numerical data, and can also be used to estimate the fractal dimension of a naturally occurring fractal.

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.

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