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Question

# Statement−1: 0<x<y⇒logax>logay, where a>1. Statement−2: When a>1,logax is an increasing function.

A
Statement1 is true, Statement2 is true; Statement2 is a correct explanation for Statement1.
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B
Statement1 is true, Statement2 is true; Statement2 is NOT a correct explanation for Statement1.
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C
Statement1 is true, Statement2 is false.
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D
Statement1 is false, Statement2 is true.
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Solution

## The correct option is D Statement−1 is false, Statement−2 is true.When a>1,logax is an increasing function. ∴x<y⇒logax<logay

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