gaokao 2015 Q8

gaokao · China · sichuan-science Laws of Logarithms Compare or Order Logarithmic Values
8. Let $a$ and $b$ be positive numbers not equal to $1$. Then ``$3 ^ { a } > 3 ^ { b } > 3$'' is ``$\log _ { a } 3 < \log _ { b } 3$'' a
(A) necessary and sufficient condition
(B) sufficient but not necessary condition
(C) necessary but not sufficient condition
(D) neither sufficient nor necessary condition
8. Let $a$ and $b$ be positive numbers not equal to $1$. Then ``$3 ^ { a } > 3 ^ { b } > 3$'' is ``$\log _ { a } 3 < \log _ { b } 3$'' a\\
(A) necessary and sufficient condition\\
(B) sufficient but not necessary condition\\
(C) necessary but not sufficient condition\\
(D) neither sufficient nor necessary condition