Algebra Examples

$- \ln (e^{\frac{3}{2} x})$

Step 1

Use logarithm rules to move $\frac{3}{2} x$ out of the exponent.

$- (\frac{3}{2} x \ln (e))$

Step 2

Combine $\frac{3}{2}$ and $x$ .

$- (\frac{3 x}{2} \ln (e))$

Step 3

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

$- (\frac{3 x}{2} \cdot 1)$

Step 4

Multiply $\frac{3 x}{2}$ by $1$ .

$- \frac{3 x}{2}$