Precalculus Examples

$\ln (7 e^{8})$

Step 1

Rewrite $\ln (7 e^{8})$ as $\ln (7) + \ln (e^{8})$ .

$\ln (7) + \ln (e^{8})$

Step 2

Use logarithm rules to move $8$ out of the exponent.

$\ln (7) + 8 \ln (e)$

Step 3

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

$\ln (7) + 8 \cdot 1$

Step 4

Multiply $8$ by $1$ .

$\ln (7) + 8$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (7) + 8$

Decimal Form:

$9.94591014 \dots$