Precalculus Examples

$\ln (\frac{e^{9}}{2})$

Step 1

Rewrite $\ln (\frac{e^{9}}{2})$ as $\ln (e^{9}) - \ln (2)$ .

$\ln (e^{9}) - \ln (2)$

Step 2

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

$9 \ln (e) - \ln (2)$

Step 3

The natural logarithm of $e$ is $1$ .

$9 \cdot 1 - \ln (2)$

Step 4

Multiply $9$ by $1$ .

$9 - \ln (2)$