Condense the following expression to a single logarithm with

Condense the following expression to a single logarithm with coefficient 1. Do not leave any negative or fractional exponents in your answer.

2logx-3logz-(1/2)log(y-4)+3log(w-3)

Solution

2log x -3log z -(1/2)log(y-4)+3log(w-3)

log x²-log z³-log(y-4)^1/2+log(w-3)³

log(x²(w-3)³)/(z³(y-4)^1/2)