Simplify/Condense 20 log base 6 of u+5 log base 6 of v

$20 \log_{6} (u) + 5 \log_{6} (v)$

Simplify each term.

Simplify $20 \log_{6} (u)$ by moving $20$ inside the logarithm.

$\log_{6} (u^{20}) + 5 \log_{6} (v)$

Simplify $5 \log_{6} (v)$ by moving $5$ inside the logarithm.

$\log_{6} (u^{20}) + \log_{6} (v^{5})$

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{6} (u^{20} v^{5})$