Question

Choose the best answer that represents the property used to rewrite the expression

Answer 1

Given

$log\sqrt[3]{x}\text{ = }\frac{1}{3}logx$

To answer the question, let us attempt to expand from the lef

From the left hand side:

$\begin{gathered} =log\sqrt[3]{x} \\ =\text{ logx}^{\frac{1}{3}} \end{gathered}$

Using the power property of logarithm, we can write:

$logx^{\frac{1}{3}}\text{ = }\frac{1}{3}logx$

Hence, the answer is power property