Precalculus Examples

$\ln (\ln (e^{e^{10}}))$

Step 1

Expand $\ln (e^{e^{10}})$ by moving $e^{10}$ outside the logarithm.

$\ln (e^{10} \ln (e))$

Step 2

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

$\ln (e^{10} \cdot 1)$

Step 3

Multiply $e^{10}$ by $1$ .

$\ln (e^{10})$

Step 4

Expand $\ln (e^{10})$ by moving $10$ outside the logarithm.

$10 \ln (e)$

Step 5

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

$10 \cdot 1$

Step 6

Multiply $10$ by $1$ .

$10$