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Solve log(6) 9-log(9) 27 + log(8)x = log...

Solve `log_(6) 9-log_(9) 27 + log_(8)x = log_(64) x - log_(6) 4`..

A

`1//2`

B

`1//4`

C

`1//8`

D

`1//16`

Text Solution

Verified by Experts

The correct Answer is:
C
`log_(6)9-log_(9)27)+log_(8)x=log_(64)x-log_(6)4`
`rArr (log_(9)9+log_(6)4)-(3)/(2)log_(3)3=(log_(8)x)/(2)-log_(8)x`
`rArr 2-(3)/(2)=-(1)/(2)log_(8)x`
`rArr x=(1)/(8)`
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