Write as a Single Logarithm log base 4 of u-6 log base 4 of v

$\log_{4} (u) - 6 \log_{4} (v)$

Simplify $- 6 \log_{4} (v)$ by moving $6$ inside the logarithm.

$\log_{4} (u) - \log_{4} (v^{6})$

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

$\log_{4} (\frac{u}{v^{6}})$