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Solve log(2)(2sqrt(17-2x))=1 - log(1//2)...

Solve `log_(2)(2sqrt(17-2x))=1 - log_(1//2)(x-1)`.

Text Solution

Verified by Experts

The correct Answer is:
x = 4
`log_(2)(2sqrt17-2x)=1+log_(2)(x-1)`
` or log_(2)((2sqrt(17-2x))/(x-1))=1`
` or ((2sqrt(17-2x))/(x-1))=2`
`or 2sqrt(17-2x)=2(x-1)`
` or x^(2)2x+1 = 17 - 2x`
` x^(2) = 16`
` rArr x = 4 ("as "x ne -4)`
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