Question

question
write the logarithmic equation as an exponential equation.
$log_{9}left(\frac{1}{81}
ight)=-2$

Explanation:

Step1: Recall log-exponential conversion rule

For $\log_b(x) = y$, it converts to $b^y = x$

Step2: Substitute values into the rule

Here, $b=9$, $y=-2$, $x=\frac{1}{81}$

Answer:

$9^{-2} = \frac{1}{81}$