## College Algebra (6th Edition)

The quotient rule for logarithms states that $\log_{b}\Big(\dfrac{M}{N}\Big)=\log_{b}M-\log_{b}N$. The logarithm of a quotient is the $\textbf{difference}$ of the logarithms
Since the logarithm of a quotient is the $\textbf{difference}$ of the logarithms, $\log_{b}\Big(\dfrac{M}{N}\Big)$ is equal to subtracting the logarithms of $M$ and $N$