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

x^(log3 (x) - 2) = 27Прологарифмируем по основанию 3 log3 x^(log3(x) - 2 ) = log3 (27)log3(x) * (log3(x) - 2) = 3log ² 3(x) - 2log3(x) - 3 = 0 log3(x) = tt^2 - 2t - 3 = 0 D = 4 + 12 = 16 = 4^2t1 = ( 2 + 4)/2 = 6 /2 = 3t2  =( 2 -  4)/2 = - 2/2 = - 1log3(x) = 3x = 3^3x = 27log3(x) = - 1x = 3^(-1)x = 1/3Ответ1/3; 27