Precalculus Examples

$\ln (e^{5 x})$

Step 1

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

$5 x \ln (e)$

Step 2

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

$5 x \cdot 1$

Step 3

Multiply $5$ by $1$ .

$5 x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$