Loglog Plot:
A loglog plot represents observed units described by two variables, say x and y , as a scatter graph . In a loglog plot, the two axes display the logarithm of values of the variables, not the values themselves.
If the relationship between x and y is described by a power law,

then the (x,y) points on the loglog plot form a line with the slope equal to a .
Loglog plots are widely used to represent data that are expected to be scaleinvariant (or "fractal")  because fractal data usually follow a power law.