Precalculus Examples

$\log_{4} (\frac{a^{2} b}{c})$

Step 1

Rewrite $\log_{4} (\frac{a^{2} b}{c})$ as $\log_{4} (a^{2} b) - \log_{4} (c)$ .

$\log_{4} (a^{2} b) - \log_{4} (c)$

Step 2

Rewrite $\log_{4} (a^{2} b)$ as $\log_{4} (a^{2}) + \log_{4} (b)$ .

$\log_{4} (a^{2}) + \log_{4} (b) - \log_{4} (c)$

Step 3

Expand $\log_{4} (a^{2})$ by moving $2$ outside the logarithm.

$2 \log_{4} (a) + \log_{4} (b) - \log_{4} (c)$