Question

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

Answer 1

Given

`log\sqrt[3]{x}\text{ = }(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}^{(1)/(3)} \end{gathered}`

Using the power property of logarithm, we can write:

`logx^{(1)/(3)}\text{ = }(1)/(3)logx`

Hence, the answer is power property