Precalculus Examples

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

Step 1

Expand $\ln (e^{x})$ .

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Step 1.1

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

$x \ln (e)$

Step 1.2

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

$x \cdot 1$

Step 1.3

Multiply $x$ by $1$ .

$x$

Step 2

The expanded equation is $x = 5$ .

$x = 5$