Solving another Logarithm?

Question

Solve the equation algebraically.
Round the result to three decimal places.

http://img54.imageshack.us/img54/89/log3zl4.jpg

Answer 1

log(x+4)-log(x)=log(x+2)
log((x+4)/x)=log(x+2)
Take antilog on both sides
(x+4)/x=(x+2)
(x+4) = x*(x+2)
x+4=x^2+2x
x^2+x-4=0
Solve the above use quadratic solution
x=(-1+sqrt(1+16))/2 or (-1-sqrt(1+16))/2
since x cannot be negative
x = (-1+sqrt(17))/2

Answer 2

I think it is 4