The allometric formula is used to describe a wide variety of growth patterns. It says that y = nxm, where x and y are variables, and n and m are constants. For example, the famous biologist J. S. Huxley used this formula to relate the weight of the large claw of the fiddler crab to the weight of the body without the claw. Show that if x and y are given by the allometric formula, then X = log_b x, Y = log_b y, and N = log_b n are related by the linear equation Y = mX + N.