Precalculus Examples

$\ln (x^{2}) + 3 \ln (y)$

Step 1

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

$\ln (x^{2}) + \ln (y^{3})$

Step 2

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

$\ln (x^{2} y^{3})$