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Question Number 170131 by mathlove last updated on 17/May/22

$$4^{\mid x\mid }=x^4$$$$x=?$$

Answered by mr W last updated on 17/May/22

$$\mid x\mid =t>0$$$$4^t=t^4$$$$\Rightarrow t=2,4,-0.7667\left(rejected\right)$$$$\Rightarrow x=\pm 2,\pm 4$$

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