Simplify/Condense log base 2 of 12-2 log base 2 of x

$\log_{2} (12) - 2 \log_{2} (x)$

Simplify $- 2 \log_{2} (x)$ by moving $2$ inside the logarithm.

$\log_{2} (12) - \log_{2} (x^{2})$

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

$\log_{2} (\frac{12}{x^{2}})$