Precalculus Examples

$\log_{2} (\frac{y}{z^{\frac{1}{3}}})$

Step 1

Rewrite $\log_{2} (\frac{y}{z^{\frac{1}{3}}})$ as $\log_{2} (y) - \log_{2} (z^{\frac{1}{3}})$ .

$\log_{2} (y) - \log_{2} (z^{\frac{1}{3}})$

Step 2

Expand $\log_{2} (z^{\frac{1}{3}})$ by moving $\frac{1}{3}$ outside the logarithm.

$\log_{2} (y) - (\frac{1}{3} \log_{2} (z))$

Step 3

Combine $\frac{1}{3}$ and $\log_{2} (z)$ .

$\log_{2} (y) - \frac{\log_{2} (z)}{3}$