Question

log3(x²-11x+27)=2
Решите пожалуйста

Answer 1

$log_3 (x^2-11x+27)=2 \\\\ log_3 (x^2-11x+27)=log_3 9 \\\\ x^2-11x+27=9 \\\\ x^2-11x+18=0 \\\\ (x-9)(x-2)=0 \\\\\\\\ 9^2-11*9+27 =81+27-99=9\ \textgreater \ 0 \\\\ 2^2-11*2+27=4-22+27=9 \ \textgreater \ 0 \\\\\\\ x_1=9; x_2=2$