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1. $\frac{\log \sqrt{8}}{\log 8} is equal to = ?$

A. $\frac{1}{\sqrt{8}}$

B. $\frac{1}{4}$

C. $\frac{1}{2}$

D. $\frac{1}{8}$

Solution:

\begin{aligned} \frac{\log \sqrt{8}}{\log 8} \\ = \frac{\log {(8)}^{\frac{1}{2}}}{\log 8} \\ = \frac{\frac{1}{2} \log 8}{\log 8} \\ = \frac{1}{2} \end{aligned}

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