Germany l can you solve this?? l Olympiad Math Exponential problem l x=?

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[@sy8146]

Thank you for explaining. If the problem condition is "x is integer", x=±16. But if the problem condition is "x is real number", there are other solutions. (One is between 1 and 2, the other is the reverse sign value.)

[@CharlesChen-el4ot]

x^2 ln 4= 128 ln x x^2/ln x= 128/ln 4 =256 /ln 4^2 = 16^2/ln 16 x = 16