Answer:
x= 1, 4
Step-by-step explanation:
[tex]log_{x+2} (9x) =2\\\\
9x = (x+2)^2 \\\\
(x+2)^2 - 9x = 0\\\\
x^2 +4x + 4-9x = 0\\\\
x^2 - 5x +4= 0\\\\
x^2 - 4x-x+4=0\\\\
x(x-4)-1(x-4)=0\\\\
(x-4)(x-1)=0\\\\
x-4 =0\: or\: x - 1=0\\\\
x = 4\: or\: x = 1\\\\
x = 1,\: 4
[/tex]
