If, while training for a marathon, you ran 54 miles in 2 2/3 months, how many miles did you run each month?

54 / 2 2/3 =

54/1 / 8/3 =

54/1 x 3/8 = 162/8 = 20 1/4 miles per month

3 is greater then both of those numbers

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: