At a community college with 500 students, 120 students are age 30 or older. find the probability that a randomly selected student is age 30 or older.

irrational, cannot

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: