Caption: A log-log plot of the power-law function

  y = f(x) 
    = [x(-10)]*[(10(20)], 

  log(y) = log[f(x)] 

         = -10*log(x) + 20. 

Features:

1. In this log-log plot, the powers of 10 are shown.

   In many log-log plots, just the powers are shown. If just the powers were shown for this plot, the x-axis values would run 0, 1, 2, 3 and the y-axis values would run -20, -15, -10, -5, 0, 5, 10, 15, 20.

2. A power-law function on a log-log plot becomes a straight line.

   To explicate, the general power-law function
   

     y = a*x**p 

   has the logarithmic form
   

     log(y) = p*log(x)+a, 

   which is a straight line, where p is the slope and a y-intercept.

   Since a log-log plot automatically converts function logarithmic form, it converts power-law functions into straight lines: QED.

   Since power-law functions are very common in science and straight lines are easy to understand, the effect of log-log plots on power-law functions is very useful.

3. For the plotted power-law function, the slope is -10 and the y-intercept is 10**20.