# How do you write the equation log_sqrt6 36=4 into exponential form?

Jan 21, 2017

First, recognize that your base is $\sqrt{6}$, and the power is 4.

#### Explanation:

The exponential form is ${\sqrt{6}}^{4} = 36$.

To check, multiply $\sqrt{6} \cdot \sqrt{6} \cdot \sqrt{6} \cdot \sqrt{6}$ which = 36.