4 ^ (logx (4)) = x^9
обе части под логарифм с основанием 4
log4 (4 ^ (logx (4))) = log4 (x^9)
logx(4) *log4 (4) = 9*log4(x)
logx(4) * 1 = 9*log4(x)
logx(4)/log4(x) = 9
переход к новому основанию 1/log4(x) = logx(4)
(logx(4))^2 = 9
или
(logx(4))^2 = 3^2
logx(4) = 3
x =³√2² = ³√4
или
(logx(4))^2 = (-3)^2
logx(4) = - 3
x = 1/³√x² = 1/³√4