Answer
(a) to C.
(b) to A.
(c) to E.
(d) to B.
(e) to F.
(f) to D.
Work Step by Step
(a) to C. $log_216=4$ because $2^4=16$
(b) to A. $log_31=0$ because $3^0=1$
(c) to E. $log_{10}0.1=-1$ because $10^{-1}=0.1$
(d) to B. $log_2\sqrt 2=\frac{1}{2}$ because $2^{1/2}=\sqrt 2$
(e) to F. $log_e(\frac{1}{e^2})=-2$ because $e^{-2}=\frac{1}{e^2}$
(f) to D. $log_{\frac{1}{2}}(8)=-3$ because $(\frac{1}{2})^{-3}=8$