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Solve log(2)|4-5x| gt 2....

Solve ` log_(2)|4-5x| gt 2`.

A

`(8//5, oo)`

B

`(4//5, 8//5)`

C

`(-oo, 0)cup(8//5, oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
We have,
`"log"_(2)|4-5x|gt 2`
`rArr |4-5x| gt 2^(2)`
`rArr |4-5x|gt 4`
`rArr 4-5x lt - 4 "or,"4-5x gt 4`
`rArr x gt (8)/(5)"or" x lt 0 rArr x in (-oo, 0) cup (8//5, oo)`
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OBJECTIVE RD SHARMA ENGLISH-LOGARITHMS-Section I - Solved Mcqs
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