Answer
$\log$ ${972}$
Work Step by Step
Use the Power Property of Logarithms to rewrite this expression. The property states that $\log_b {m^n} = n (\log_b {m})$. Thus, the given expression is equivalent to:
$\log {3^5} + \log {4}$
Use the Product Property of Logarithms. According to this property, $\log_b {mn} = \log_b {m} + log_b {n}$.
Thus, the expression above si equivalent to:
$\log$ ${(3^5)(4)}$
Evaluate the exponential term first to obtain:
$\log$ ${(243)(4)}$
Finally, multiply to simplify:
$\log$ ${972}$
