Simplify/Condense 3 log base b of q+6 log base b of v

$3 \log_{b} (q) + 6 \log_{b} (v)$

Simplify each term.

Simplify $3 \log_{b} (q)$ by moving $3$ inside the logarithm.

$\log_{b} (q^{3}) + 6 \log_{b} (v)$

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

$\log_{b} (q^{3}) + \log_{b} (v^{6})$

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

$\log_{b} (q^{3} v^{6})$