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Consider the equation log2 ^2 x- 4 log2 ...

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 < x_2`.The set of all values of m for which the equation has real roots is (i) `(-infty ,0)` (ii) `(0,infty)` (iii) `[1, infty)` (iv) `(-infty,infty)`

A

`(-oo,0)`

B

`(0,oo)`

C

`[1,oo)`

D

`(-oo,oo)`

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The correct Answer is:
D
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