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The solution set of the equation x^(log...

The solution set of the equation `x^(log_x(1-x)^2)=9` is

A

`{-2,4}`

B

{4}

C

`{0,-2,-4}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`x^(log_(x)(1-x)^(2))=9`
`rArr (1-x^(2)=9`
`rArr 1-x= pm 3`
`rArr x=-2, 4`
But x = -2 is not possible
`rArr x = 4`
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