Precalculus Examples

$\ln (a) + \frac{1}{5} \cdot \ln (b)$

Step 1

Simplify $\frac{1}{5} \ln (b)$ by moving $\frac{1}{5}$ inside the logarithm.

$\ln (a) + \ln (b^{\frac{1}{5}})$

Step 2

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

$\ln (a b^{\frac{1}{5}})$