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The number of real values of the paramet...

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 `(1)`2 `(b)` 1 `(c)` 4 ` (d)` none of these

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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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