Precalculus Examples

$\frac{1}{5} \cdot \log (x) - \log (y)$

Step 1

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

$\log (x^{\frac{1}{5}}) - \log (y)$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{x^{\frac{1}{5}}}{y})$