Question

question
write the logarithmic equation as an exponential equation.
$log_{2}left(sqrt3{2}
ight)=\frac{1}{3}$

Explanation:

Step1: Recall log-exponential conversion rule

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

Step2: Match values to the formula

Here, $b=2$, $y=\frac{1}{3}$, $x=\sqrt[3]{2}$

Step3: Substitute into exponential form

$2^{\frac{1}{3}} = \sqrt[3]{2}$

Answer:

$2^{\frac{1}{3}} = \sqrt[3]{2}$