Logarithm Properties

The product rule: $\log_b(MN) = log_b(M) + log_b(N)$ The quotient rule: $\log_b(\frac{M}{N}) = log_b(M) - log_b(N)$

The power rule: $\log_b(M^p) = p \cdot \log_b(M)$

The properties apply for any values of M, N and $b$ for which each logarithm is defined, which is $M$, $N > 0$ and $0 < b \ne 1$