Precalculus Examples

$\log (\frac{3 a^{2}}{b})$

Step 1

Rewrite $\log (\frac{3 a^{2}}{b})$ as $\log (3 a^{2}) - \log (b)$ .

$\log (3 a^{2}) - \log (b)$

Step 2

Rewrite $\log (3 a^{2})$ as $\log (3) + \log (a^{2})$ .

$\log (3) + \log (a^{2}) - \log (b)$

Step 3

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

$\log (3) + 2 \log (a) - \log (b)$