# How do I solve this exponential equation problem?

May 22, 2018

23.105 years

#### Explanation:

 $6000 =$3000 e^{0.03 * T }
$2 = {e}^{0.03 T}$
$0.03 T = \ln \left(2\right)$
$T = \setminus \frac{\ln \left(2\right)}{0.03} \setminus \approx 23.10390602 \ldots$

Thus it will take 23.105 years