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A power law plotted on a logarithmic scale will be a straight line. log(x^2.2) == 2.2*log(x).

You need log transformations on both axes for this to work.

For those whose algebra is rusty:

Let y = ax^n

Then log(y) = log(ax^n) = log(a)+log(x^n) = log(a) + log(x)*n

i.e. and equation for a line when plotting log(y) vs. log(x).

Yeah OK, after a little reflection I see where my mistake was. I wish there was a way to delete my comment.