Logarithmic plots (or log plots) are plots that use a logarithmic scale. A logarithmic scale shows the value of a variable which uses intervals that match orders of magnitude, instead of a regular linear scale. There are two types of logarithmic plots. The log-log plot employs logarithmic scaling on both axes and is represented in matplotlib by the matplotlib.pyplot.loglog() function. The semi-log plots use linear scaling on one axis and logarithmic scaling on the other axis. These plots are represented in the matplotlib API by the semilogx() and semilogy() functions. On log-log plots, power laws appear as straight lines. On semi-log plots, straight lines represent exponential laws.

Moore's law is such a law. It's not a physical, but more of an empirical observation. Gordon Moore discovered a trend of the number of transistors in integrated circuits doubling every two years. On http://en.wikipedia.org/wiki/Transistor_count#Microprocessors, a table can be found with transistor...