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Statement-1: 0 lt x lt y rArr "log"(a) x...

Statement-1: `0 lt x lt y rArr "log"_(a) x gt "log"_(a) y,` where ` a gt 1`
Statement-2: `"When" a gt 1, "log"_(a) x` is an increasing function.

A

Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is true, Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
D
When `a gt 1, "log"_(a)x` is an increasing function.
`therefore x lt y rArr "log"_(a) x lt "log"_(a)y`
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