Madhu can select from 3 type of oranges and 4 types apples. if she randomly selei 1 orange and 1 apple, how many possible choices does she have

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: