Evaluate natural log of e^(4x)

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

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

$4 x \ln (e)$

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

$4 x \cdot 1$

Multiply $4$ by $1$ .

$4 x$

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