Write as a Single Logarithm log of 5-2 log of x

$\log (5) - 2 \log (x)$

Simplify $- 2 \log (x)$ by moving $2$ inside the logarithm.

$\log (5) - \log (x^{2})$

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{5}{x^{2}})$