Precalculus Examples

$\ln (e^{4}) = x$

Step 1

Rewrite the equation as $x = \ln (e^{4})$ .

$x = \ln (e^{4})$

Step 2

Simplify $\ln (e^{4})$ .

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Step 2.1

Use logarithm rules to move $4$ out of the exponent.

$x = 4 \ln (e)$

Step 2.2

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

$x = 4 \cdot 1$

Step 2.3

Multiply $4$ by $1$ .

$x = 4$