Precalculus Examples

$7 + 2 \ln (e^{5 x})$

Step 1

Use logarithm rules to move $5 x$ out of the exponent.

$7 + 2 (5 x \ln (e))$

Step 2

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

$7 + 2 (5 x \cdot 1)$

Step 3

Multiply $5$ by $1$ .

$7 + 2 (5 x)$

Step 4

Multiply $5$ by $2$ .

$7 + 10 x$