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

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

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:
A
As `"log"_(a) x` is a decreasing function for all` a in (0, 1).`
`therefore x lt y rArr "log"_(a) x gt "log"_(a) y`
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