Log–log plot

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 axes are plotted on a logarithmic scale. All functions of the form ${\displaystyle y=ax^{b}}$ form straight lines (where b determines the slope and a determines the x=1 intercept), since taking logs of both sides is equal to

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.

${\displaystyle \log(y)=b\log(x)+\log(a)\,\!}$

See also

Semilog graph