Precalculus Examples

$\frac{\log (\frac{x}{y})}{\log (\frac{z}{y})}$

Step 1

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

$\frac{\log (x) - \log (y)}{\log (\frac{z}{y})}$

Step 2

Rewrite $\log (\frac{z}{y})$ as $\log (z) - \log (y)$ .

$\frac{\log (x) - \log (y)}{\log (z) - \log (y)}$