Answer
(a) $log_4(8)=\frac{3}{2}$
(b) $8^{2/3}=4$
Work Step by Step
Use definitions to convert between exponential and logarithm, we have:
(a) From $4^{3/2}=8$, we have $log_4(8)=\frac{3}{2}$
(b) From $log_8(4)=\frac{2}{3}$, we have $8^{2/3}=4$