Question

Whats the answer to log
`log_(x+2) (9x) =2` ?

Answer 1

x= 1, 4

Explanation:

`log_(x+2) (9x) =2\\\\</p><p>9x = (x+2)^2 \\\\</p><p>(x+2)^2 - 9x = 0\\\\</p><p>x^2 +4x + 4-9x = 0\\\\</p><p>x^2 - 5x +4= 0\\\\</p><p>x^2 - 4x-x+4=0\\\\</p><p>x(x-4)-1(x-4)=0\\\\</p><p>(x-4)(x-1)=0\\\\</p><p>x-4 =0\: or\: x - 1=0\\\\</p><p>x = 4\: or\: x = 1\\\\</p><p>x = 1,\: 4</p><p>`