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If x(1) and x(2) are solution of the equ...

If `x_(1)` and `x_(2)` are solution of the equation `log_(5)(log_(64)|x|+(25)^(x)-(1)/(2))=2x`, then

A

`x_(1)=2x_(2)`

B

`x_(1)+x_(2)=0`

C

`x_(1)=3x_(2)`

D

`x_(1)x_(2)=64`

Text Solution

Verified by Experts

The correct Answer is:
B
`log_(5)(log_(64)|x|+(25)^(x)-(1)/(2))=2x`
`rArr log_(64)|x|+(25)^(x)-(1)/(2)=(25)^(x)`
`rArr log_(64)|x|=(1)/(2)`
`rArr |x|=8`
`rArr x=-8,8`
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