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Consider the equation log (2)^(2) x -4 l...

Consider the equation `log _(2)^(2) x -4 log _(2)x-m^(2) -2m -13=0, m in R.` Let the real roots of the equation be `x _(1), x _(2)` such that `x _(1)lt x _(2).`
The sum of maximum value of, `x _(1)` and minimum value of `x _(2)` is :

A

`(513)/(8) `

B

`(513)/4`

C

`(1025)/(8)`

D

`(257)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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