Precalculus Examples

$\log_{5} (\frac{x^{4 y^{5}}}{3})$

Step 1

Rewrite $\log_{5} (\frac{x^{4 y^{5}}}{3})$ as $\log_{5} (x^{4 y^{5}}) - \log_{5} (3)$ .

$\log_{5} (x^{4 y^{5}}) - \log_{5} (3)$

Step 2

Expand $\log_{5} (x^{4 y^{5}})$ by moving $4 y^{5}$ outside the logarithm.

$4 y^{5} \log_{5} (x) - \log_{5} (3)$