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The domain of the function f(x)=log(2x-1...

The domain of the function `f(x)=log_(2x-1)(x-1)` is

A

`(1,oo)`

B

`((1)/(2),oo)`

C

`(0,oo)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
For f(x) to be defined,
`x-1gt0" and "2x-1gt0" and "2x-1ne1`
`implies" "xgt1,xgt(1)/(2)" and "xne1impliesxgt1`
Hence, the domain is `(1,oo)`.
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