Suppose you have an exponential looking histogram, and you find a linear pattern when you look at log(frequency) vs log(x). Find the mathematical form of the frequency vs x

(FYI. these histograms are said to follow "powerl-ow." There are lots of variables that have power-law histograms, including)

x= magnitude of earthquakes

= population of cities, on the planet

= length of words, in a book

= casualties of wars, for different wars