Answer
$\log{\frac{5}{x^2}}$
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:
$$\log{5}-2\log{x}=\log{5}-\log{x^2}$$
Use the Quotient Property to obtain:
$$\log{5}-\log{x^2}=\log{\frac{5}{x^2}}$$