Precalculus Examples

$\log_{7} (\frac{x^{2}}{y})$

Step 1

Rewrite $\log_{7} (\frac{x^{2}}{y})$ as $\log_{7} (x^{2}) - \log_{7} (y)$ .

$\log_{7} (x^{2}) - \log_{7} (y)$

Step 2

Expand $\log_{7} (x^{2})$ by moving $2$ outside the logarithm.

$2 \log_{7} (x) - \log_{7} (y)$