X^(log(3) x - 2) = 27 Найти значение х

x^(log3 (x) - 2) = 27 Прологарифмируем по основанию 3  log3 x^(log3(x) - 2 ) = log3 (27) log3(x) * (log3(x) - 2) = 3 log ² 3(x) - 2log3(x) - 3 = 0  log3(x) = t t^2 - 2t - 3 = 0  D = 4 + 12 = 16 = 4^2 t1 = ( 2 + 4)/2 = 6 /2 = 3 t2  =( 2 -  4)/2 = - 2/2 = - 1 log3(x) = 3 x = 3^3 x = 27 log3(x) = - 1 x = 3^(-1) x = 1/3 Ответ 1/3; 27