## Precalculus (6th Edition) Blitzer

The quotient rule state that the logarithm of a quotient equals the difference of the logarithms; that is,$$\log_b\left ( \frac{M}{N} \right )=\log_bM- \log_bN.$$For example,$$\log 4= \log \left ( \frac{12}{3} \right )= \log 12 - \log 3$$