The number of real solutions of the equation 3−|x|−2|x|=0 is
A
0
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B
1
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C
2
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D
3
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Solution
The correct option is B1 The graph of the above function cuts the x axis at 0 only. Hence there is only one real solution. 3−|x|−2|x|=0 3−|x|=2|x| 1=6|x| Taking log we get log(1)=|x|log(6) |x|log(6)=0 Since log(6) is a constant, |x|=0