Write as a Single Logarithm 3 log base 2 of x-4 log base 2 of y

$3 \log_{2} (x) - 4 \log_{2} (y)$

Simplify each term.

Simplify $3 \log_{2} (x)$ by moving $3$ inside the logarithm.

$\log_{2} (x^{3}) - 4 \log_{2} (y)$

Simplify $- 4 \log_{2} (y)$ by moving $4$ inside the logarithm.

$\log_{2} (x^{3}) - \log_{2} (y^{4})$

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

$\log_{2} (\frac{x^{3}}{y^{4}})$