Simplify/Condense 6 natural log of x+4 natural log of y

$6 \ln (x) + 4 \ln (y)$

Step 1

Simplify each term.

Simplify $6 \ln (x)$ by moving $6$ inside the logarithm.

$\ln (x^{6}) + 4 \ln (y)$

Simplify $4 \ln (y)$ by moving $4$ inside the logarithm.

$\ln (x^{6}) + \ln (y^{4})$

Step 2

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

$\ln (x^{6} y^{4})$