Answer
$\log_2\sqrt[4] {8}=\frac{3}{4}$
Work Step by Step
Use the Power Property. Also, remeber that $\log_aa=1$:
$\log_2\sqrt[4] {8}=\log_2\sqrt[4] {2^3}=\log_2(2^3)^{\frac{1}{4}}=\log_22^{\frac{3}{4}}=\frac{3}{4}\log_22=\frac{3}{4}(1)=\frac{3}{4}$
