The number of real values of the parameter `k` for which `(log_(16)x)^2-(log)_(16)x+(log)_(16)k=0` with real coefficients will have exactly one solution is 2 (b) 1 (c) 4 (d) none of these

Explanation

Let `log_16 x = y`

Then, given equation becomes,

`y^2-y+log_16 k = 0`

This is a quadratic equation and it has exactly one solution.

`:. D = 0`

`=>b^2-4ac = 0`


`=>(-1)^2 - 4(1)(log_16 k) = 0`

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