Precalculus Examples

$\frac{\log_{u} (v^{9})}{\log_{u} (t^{4})}$

Step 1

Expand $\log_{u} (v^{9})$ by moving $9$ outside the logarithm.

$\frac{9 \log_{u} (v)}{\log_{u} (t^{4})}$

Step 2

Expand $\log_{u} (t^{4})$ by moving $4$ outside the logarithm.

$\frac{9 \log_{u} (v)}{4 \log_{u} (t)}$