Simplify/Condense 5 log base b of x+6 log base b of y

$5 \log_{b} (x) + 6 \log_{b} (y)$

Simplify each term.

Simplify $5 \log_{b} (x)$ by moving $5$ inside the logarithm.

$\log_{b} (x^{5}) + 6 \log_{b} (y)$

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

$\log_{b} (x^{5}) + \log_{b} (y^{6})$

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

$\log_{b} (x^{5} y^{6})$