Question

question
write the logarithmic equation as an exponential equation.
$log_{4}left(sqrt3{4}\
ight)=\frac{1}{3}$
answer attempt 1 out of 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, $b=4$, $y=\frac{1}{3}$, $x=\sqrt[3]{4}$
So $4^{\frac{1}{3}} = \sqrt[3]{4}$

Answer:

$4^{\frac{1}{3}} = \sqrt[3]{4}$