Question
$$\frac{{\log \sqrt 8 }}{{\log 8}}\,\,{\text{is equal to = ?}}$$
Answer: Option C
$$\eqalign{
& \frac{{\log \sqrt 8 }}{{\log 8}} \cr
& = \frac{{\log {{\left( 8 \right)}^{\frac{1}{2}}}}}{{\log 8}} \cr
& = \frac{{\frac{1}{2}\log 8}}{{\log 8}} \cr
& = \frac{1}{2} \cr} $$
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$$\eqalign{
& \frac{{\log \sqrt 8 }}{{\log 8}} \cr
& = \frac{{\log {{\left( 8 \right)}^{\frac{1}{2}}}}}{{\log 8}} \cr
& = \frac{{\frac{1}{2}\log 8}}{{\log 8}} \cr
& = \frac{1}{2} \cr} $$
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