Precalculus Examples

$\frac{\ln (e^{24})}{4}$

Step 1

Expand $\ln (e^{24})$ by moving $24$ outside the logarithm.

$\frac{24 \ln (e)}{4}$

Step 2

Cancel the common factor of $24$ and $4$ .

Tap for more steps...

Step 2.1

Factor $4$ out of $24 \ln (e)$ .

$\frac{4 (6 \ln (e))}{4}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $4$ out of $4$ .

$\frac{4 (6 \ln (e))}{4 (1)}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (6 \ln (e))}{4 \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{6 \ln (e)}{1}$

Step 2.2.4

Divide $6 \ln (e)$ by $1$ .

$6 \ln (e)$

Step 3

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

$6 \cdot 1$

Step 4

Multiply $6$ by $1$ .

$6$