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Which of the following intervals is p...

Which of the following intervals is possible domain of the function `f(x)=(log)_((x))[x]+(log)_([x]){x}` , where [x] is the greatest integer not exceeding `xa n d{x}=x-[x]?` `(0,1)` (b) (1,2) (c) (2, 3) (d) (3, 5)

A

(0, 1)

B

(1, 2)

C

(2, 3)

D

(3, 5)

Text Solution

Verified by Experts

The correct Answer is:
C
`x notin I` & `[x] gt 1`
`rArr x in (2, 3)` only option satisfy.
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