Simplify/Condense 3 natural log of x+5 natural log of y

$3 \ln (x) + 5 \ln (y)$

Simplify each term.

Simplify $3 \ln (x)$ by moving $3$ inside the logarithm.

$\ln (x^{3}) + 5 \ln (y)$

Simplify $5 \ln (y)$ by moving $5$ inside the logarithm.

$\ln (x^{3}) + \ln (y^{5})$

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

$\ln (x^{3} y^{5})$