Precalculus Examples

$\ln (9^{n})$

Step 1

Expand $\ln (9^{n})$ by moving $n$ outside the logarithm.

$n \ln (9)$

Step 2

Rewrite $\ln (9)$ as $\ln (3^{2})$ .

$n \ln (3^{2})$

Step 3

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

$n (2 \ln (3))$

Step 4

Move $2$ to the left of $n$ .

$2 n \ln (3)$