Answer
(a) to F.
(b) to B.
(c) to A.
(d) to D.
(e) to C.
(f) to E.
Work Step by Step
(a) to F. $log_381=4$ because $3^4=81$
(b) to B. $log_3(\frac{1}{3})=-1$ because $3^{-1}=\frac{1}{3}$
(c) to A. $log_{10}0.01=-2$ because $10^{-2}=0.01$
(d) to D. $log_6\sqrt 6=\frac{1}{2}$ because $6^{1/2}=\sqrt 6$
(e) to C. $log_e1=0$ because $e^{0}=1$
(f) to E. $log_{3}(27^{3/2})=\frac{9}{2}$ because $3^{9/2}=27^{3/2}$
