Question Number 170131 by mathlove last updated on 17/May/22
$$\mathrm{4}^{\mid{x}\mid} ={x}^{\mathrm{4}} \\ $$$${x}=? \\ $$
Answered by mr W last updated on 17/May/22
$$\mid{x}\mid={t}>\mathrm{0} \\ $$$$\mathrm{4}^{{t}} ={t}^{\mathrm{4}} \\ $$$$\Rightarrow{t}=\mathrm{2},\:\mathrm{4},\:−\mathrm{0}.\mathrm{7667}\:\left({rejected}\right) \\ $$$$\Rightarrow{x}=\pm\mathrm{2},\:\pm\mathrm{4} \\ $$