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Exponential Function (a^x)

The number of...

Question

The number of solution(s) of the equation $3^{| x |} (| 2 - | x | |) = 1$ is

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Solution

The correct option is D $4$
$3^{| x |} (| 2 - | x | |) = 1 \Rightarrow | 2 - | x | | = 3^{- | x |}$

Hence, the number of solutions is $4.$

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