Answer
$\log{4} + 4\log{s}+\log{t}$
Work Step by Step
RECALL:
(1) Product Property of Logarithms:
$\log_a{mn}=\log_a{m} + \log_a{n}$
(2) Quotient Property of Logarithms:
$\log_a{\frac{m}{n}}=\log_a{m} - \log_a{n}$
(3) Power Property of Logarithms:
$\log_a{m^n}=n\log_a{m}$
Use the Product Property to obtain:
\begin{align*}
\log{4s^4t}&=\log{4s^4}+\log{t}\\
&=\log{4} + \log{s^4}+\log{t}
\end{align*}
Use the Power Property to obtain:
$$\log{4} + \log{s^4}+\log{t}=\log{4} + 4\log{s}+\log{t}$$
