Find the number of solutions of ` |x|*3^(|x|) = 1`.

1.	Find the number of solutions of ` \|x\|*3^(\|x\|) = 1`.
Answer» Correct Answer - 2 We have ` \|x\|3^(\|x\|)=1` ` or \|x\| = 3^(-\|x\|)` Now, ` 3^(-\|x\|) ={{:(3^(-x)",",x ge 0),(3^(x)" ,",x lt 0):}` To find the number of roots of the above equation, we need to find the number of points of intersection of `y=\|x\| and y = 3^(\|x\|)` The graphs of these functions are as shown in the following figure: From the fraph number of solution is 2.

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