IPMAT Question Paper 2019 | IPM Indore Quants

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Question 48 : The inequality \\log _{a}{f(x)} < \log _{a}{g(x)}\\) implies that

1. f(x) > g(x) > 0 for 0 < a < 1 and g(x) > f(x) > 0 for a > 1
2. g(x) > f(x) > 0 for 0 < a < 1 and f(x) > g(x) > 0 for a > 1
3. f(x) > g(x) > 0 for a > 0
4. g(x) > f(x) > 0 for a > 0

Video Explanation

The question is "The inequality \\log _{a}{f(x)} < \log _{a}{g(x)}\\) implies that"

Hence, the answer is f(x) > g(x) > 0 for 0 < a < 1 and g(x) > f(x) > 0 for a > 1

Choice A is the correct answer

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