Given that real numbers $a , b$ satisfy $\frac { 1 } { 2 } < a < 1$ and $1 < b < 2$ . Which of the following options has the smallest value? (1) 0 (2) $\log a$ (3) $\log \left( a ^ { 2 } \right)$ (4) $\log b$ (5) $\frac { 1 } { \log b }$
Given that real numbers $a , b$ satisfy $\frac { 1 } { 2 } < a < 1$ and $1 < b < 2$ . Which of the following options has the smallest value?\\
(1) 0\\
(2) $\log a$\\
(3) $\log \left( a ^ { 2 } \right)$\\
(4) $\log b$\\
(5) $\frac { 1 } { \log b }$