Precalculus Examples

$\frac{1}{3} \cdot (\log (m) - \log (n))$

Step 1

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

$\frac{1}{3} \cdot \log (\frac{m}{n})$

Step 2

Simplify $\frac{1}{3} \log (\frac{m}{n})$ by moving $\frac{1}{3}$ inside the logarithm.

$\log ({(\frac{m}{n})}^{\frac{1}{3}})$

Step 3

Apply the product rule to $\frac{m}{n}$ .

$\log (\frac{m^{\frac{1}{3}}}{n^{\frac{1}{3}}})$