Решите уравнение (4^((log4)^2)x)+x^log4(x)=8

Question

Решите уравнение
(4^((log4)^2)x)+x^log4(x)=8

Answer 1

4^(log(4)x)=x
x^(log(4)x)+x^(log(4)x)=8
x^(log(4)x)=4
log(4)x=log(x)4
log(4)x=1/(log(4)x
log(4)x=1
x=4