Question

write the logarithmic equation as an exponential equation. $log_{8}left(sqrt{512}
ight)=\frac{3}{2}$

Explanation:

Step1: Recall log-exponential conversion rule

For $\log_b(x) = y$, the exponential form is $b^y = x$

Step2: Substitute values into the rule

Here, $b=8$, $y=\frac{3}{2}$, $x=\sqrt{512}$

Answer:

$8^{\frac{3}{2}} = \sqrt{512}$