Question

write the logarithmic equation as an exponential equation. $log_{2}left(\frac{1}{sqrt3{4}}
ight)=-\frac{2}{3}$

Explanation:

Step1: Recall log-exponential conversion rule

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

Step2: Identify values for conversion

Here, $b=2$, $y=-\frac{2}{3}$, $x=\frac{1}{\sqrt[3]{4}}$.

Step3: Substitute into exponential form

Substitute the values into $b^y = x$.

Answer:

$2^{-\frac{2}{3}} = \frac{1}{\sqrt[3]{4}}$