Precalculus Examples

$\log_{7} (\frac{x^{3}}{x - 6})$

Step 1

Rewrite $\log_{7} (\frac{x^{3}}{x - 6})$ as $\log_{7} (x^{3}) - \log_{7} (x - 6)$ .

$\log_{7} (x^{3}) - \log_{7} (x - 6)$

Step 2

Expand $\log_{7} (x^{3})$ by moving $3$ outside the logarithm.

$3 \log_{7} (x) - \log_{7} (x - 6)$