Precalculus Examples

$\log_{12} (18)$

Step 1

Rewrite $\log_{12} (18)$ as $\log_{12} (2 \cdot 3^{2})$ .

$\log_{12} (2 \cdot 3^{2})$

Step 2

Rewrite $\log_{12} (2 \cdot 3^{2})$ as $\log_{12} (2) + \log_{12} (3^{2})$ .

$\log_{12} (2) + \log_{12} (3^{2})$

Step 3

Expand $\log_{12} (3^{2})$ by moving $2$ outside the logarithm.

$\log_{12} (2) + 2 \log_{12} (3)$