Precalculus Examples

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

Step 1

Rewrite $\frac{\ln (3)}{2}$ as $\frac{1}{2} \ln (3)$ .

$e^{\frac{1}{2} \ln (3)}$

Step 2

Simplify $\frac{1}{2} \ln (3)$ by moving $\frac{1}{2}$ inside the logarithm.

$e^{\ln (3^{\frac{1}{2}})}$

Step 3

Exponentiation and log are inverse functions.

$3^{\frac{1}{2}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3^{\frac{1}{2}}$

Decimal Form:

$1.73205080 \dots$