csat-suneung 2006 Q9

csat-suneung · South-Korea · csat__math-humanities 3 marks Exponential Functions Ordering and Comparing Exponential Values

For positive numbers $a , b$ and natural numbers $m , n$ satisfying the inequality $a ^ { m } < a ^ { n } < b ^ { n } < b ^ { m }$, which of the following is correct? [3 points]
(1) $a < 1 < b , m > n$
(2) $a < 1 < b , m < n$
(3) $a < b < 1 , m < n$
(4) $1 < a < b , m > n$
(5) $1 < a < b , m < n$

For positive numbers $a , b$ and natural numbers $m , n$ satisfying the inequality $a ^ { m } < a ^ { n } < b ^ { n } < b ^ { m }$, which of the following is correct? [3 points]\\
(1) $a < 1 < b , m > n$\\
(2) $a < 1 < b , m < n$\\
(3) $a < b < 1 , m < n$\\
(4) $1 < a < b , m > n$\\
(5) $1 < a < b , m < n$

Paper Questions

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