Precalculus Examples

$\log_{7} ({(\frac{x}{y})}^{4})$

Expand $\log_{7} ({(\frac{x}{y})}^{4})$ by moving $4$ outside the logarithm.

$4 \log_{7} (\frac{x}{y})$

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

$4 (\log_{7} (x) - \log_{7} (y))$

Apply the distributive property.

$4 \log_{7} (x) + 4 (- \log_{7} (y))$

Multiply $- 1$ by $4$ .

$4 \log_{7} (x) - 4 \log_{7} (y)$