Precalculus Examples

$20000^{\frac{\ln (2)}{17}} (48)$

Step 1

Rewrite $\frac{\ln (2)}{17}$ as $\frac{1}{17} \ln (2)$ .

$20000^{\frac{1}{17} \ln (2)} \cdot 48$

Step 2

Simplify $\frac{1}{17} \ln (2)$ by moving $\frac{1}{17}$ inside the logarithm.

$20000^{\ln (2^{\frac{1}{17}})} \cdot 48$

Step 3

Move $48$ to the left of $20000^{\ln (2^{\frac{1}{17}})}$ .

$48 \cdot 20000^{\ln (2^{\frac{1}{17}})}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$48 \cdot 20000^{\ln (2^{\frac{1}{17}})}$

Decimal Form:

$71.88010404 \dots$