Agym charges $25 a month plus one time set up fee of $50. how many months did you use the gym for if your bill is $175?

answer: it is 1: 47 pm

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: