Question

question
write the exponential equation as a logarithmic equation.
$7^{\frac{1}{3}} = \sqrt3{7}$

Explanation:

Step1: Recall exponent-logarithm conversion

For $a^b = c$, $\log_a c = b$

Step2: Match values to the formula

Here $a=7$, $b=\frac{1}{3}$, $c=\sqrt[3]{7}$

Step3: Substitute into the log form

$\log_{7} \sqrt[3]{7} = \frac{1}{3}$

Answer:

$\log_{7} \sqrt[3]{7} = \frac{1}{3}$