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Solve log(4)(2xx4^(x-2)-1)+4= 2x....

Solve `log_(4)(2xx4^(x-2)-1)+4= 2x`.

Text Solution

Verified by Experts

The correct Answer is:
x = 2
` log_(4)(2xx4^(x-2)-1)+4 = 2x`
`or log_(4)(2xx4^(x-2)-1)=2x-4`
` or 2xx4^(x-2)-1 = 4^(2x-4)`
` or 2y-1 = y^(2)" "("putting "y=4^(x-2))`
` or y^(2)-2y+1 = 0`
` or y = 1`
` or 4^(x-2) = 1`
`or x = 2`
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