Precalculus Examples

$\frac{2}{3} \cdot \ln (y) + \ln (3)$

Step 1

Simplify $\frac{2}{3} \ln (y)$ by moving $\frac{2}{3}$ inside the logarithm.

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

Step 2

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

$\ln (y^{\frac{2}{3}} \cdot 3)$

Step 3

Move $3$ to the left of $y^{\frac{2}{3}}$ .

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