Precalculus Examples

$\log_{0.1\overline{6}} (9)$

Step 1

Rewrite $\log_{0.1\overline{6}} (9)$ as $\log_{0.1\overline{6}} (3^{2})$ .

$\log_{0.1\overline{6}} (3^{2})$

Step 2

Expand $\log_{0.1\overline{6}} (3^{2})$ by moving $2$ outside the logarithm.

$2 \log_{0.1\overline{6}} (3)$