Calculus Examples

$e^{\ln (\ln (e^{3}))}$

Step 1

Exponentiation and log are inverse functions.

$\ln (e^{3})$

Step 2

Expand $\ln (e^{3})$ by moving $3$ outside the logarithm.

$3 \ln (e)$

Step 3

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

$3 \cdot 1$

Step 4

Multiply $3$ by $1$ .

$3$