The dimensions of Mr. Tais living room are 10 feet times 18 feet times 8 feet, and the dimensions of his family room are 14 feet times 20 feet times 8 feet. what is the total volume, in cubic feet, of the two rooms?

the answer is 62.8 cubic units

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:

it goes right