Question

question
write the logarithmic equation as an exponential equation.
$log_{3}left(sqrt{27}\
ight)=\frac{3}{2}$
answer attempt 1 out of 2

Explanation:

Step1: Recall log-exponential conversion rule

For $\log_b(x) = y$, equivalent is $b^y = x$

Step2: Substitute values from given equation

Here $b=3$, $y=\frac{3}{2}$, $x=\sqrt{27}$

Answer:

$3^{\frac{3}{2}} = \sqrt{27}$