Precalculus Examples

$\log_{2} (\frac{x^{5}}{x - 5})$

Step 1

Rewrite $\log_{2} (\frac{x^{5}}{x - 5})$ as $\log_{2} (x^{5}) - \log_{2} (x - 5)$ .

$\log_{2} (x^{5}) - \log_{2} (x - 5)$

Step 2

Expand $\log_{2} (x^{5})$ by moving $5$ outside the logarithm.

$5 \log_{2} (x) - \log_{2} (x - 5)$