Precalculus Examples

$\ln (\frac{e^{4}}{7})$

Step 1

Rewrite $\ln (\frac{e^{4}}{7})$ as $\ln (e^{4}) - \ln (7)$ .

$\ln (e^{4}) - \ln (7)$

Step 2

Expand $\ln (e^{4})$ by moving $4$ outside the logarithm.

$4 \ln (e) - \ln (7)$

Step 3

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

$4 \cdot 1 - \ln (7)$

Step 4

Multiply $4$ by $1$ .

$4 - \ln (7)$