Log⅓(x-2)+log⅓(12-x)≥-2

Question

Log⅓(x-2)+log⅓(12-x)≥-2

Answer 1

(x-2)*(12-x)<=9<br>12x-24-x^2+2x-9<=0<br>-x^2+14x-33<=0<br>x^2-14x+33>=0
x=7+-sqrt(49-33)=7+-4
x1=11
x2=3  2x>=11
x<=3<br>(2;3] U [11;12)