## College Algebra (6th Edition)

The product rule for logarithms states that $\log_{b}(MN)=\log_{b}M+\log_{b}N$. The logarithm of a product is the $\textbf{sum}$ of the logarithms.
Since the logarithm of a product is the $\textbf{sum}$ of the logarithms, $\log_{b}(MN)$ is equal to adding the logarithms of each of the factors, $M$ and $N$