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The number of real solutions of the `(log)_(0. 5)|x|=2|x|` is 1 (b) 2 (c) 0 (d) none of these

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The number of real solutions of the `(log)_(0. 5)|x|=2|x|` is 1 (b) 2 (c) 0 (d) none of these
A. 1
B. 2
C. 0
D. none of these
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1 Answer

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Correct Answer - B
Draw the graph of `y=log_(0.5)|x| " and " y=2|x|.`
image
Clearly, from the graph, there are two solutions.
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