Question

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

Explanation:

Step1: Recall log-exponential conversion rule

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

Step2: Identify values for conversion

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

Step3: Substitute into exponential form

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

Answer:

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