College Algebra (6th Edition)

The power rule for logarithms states that $\log_{b}M^{p}=p\log_{b}M$. The logarithm of a number with an exponent is the $\textbf{product}$ of the exponent and the logarithm of that number.
Since the logarithm of a number with an exponent is the $\textbf{product}$ of the exponent and the logarithm of that number, $\log_{b}M^{p}$ is equal to taking $p$ to multiply in front of the $\log$ and obtaining $p\log_{b}M$