Write in Exponential Form -2 = log base 5 of 1/25

$- 2 = \log_{5} (\frac{1}{25})$

Step 1

For logarithmic equations, $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ such that $x > 0$ , $b > 0$ , and $b \neq 1$ . In this case, $b = 5$ , $x = \frac{1}{25}$ , and $y = - 2$ .