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

A

2

B

1

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
` log_(16) x = (1 pm sqrt(1-4 log _(16) k))/2`
For exactly one solution, ` 4 log_(16) k = 1`.
` rArr k^(4) = 16, i.e., k=2, -2`.
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CENGAGE-LOGARITHM AND ITS PROPERTIES-Exercise (Single)
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