Answer
$\log_3{7x^4}$
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 Power Property to obtain:
$$4\log_3{x}+\log+\log_s{7}=\log_3{x^4}+\log_3{7}$$
Use the Product Property to obtain:
$$\log_3{x^4}+\log_3{7}=\log_3{x^4(7)}=\log_3{7x^4}$$
