Question

Which of the following shows the true solution to the logarithmic equation below ? Log(x)+log(x+5)=log(6x+12)

Answer 1

The equation can be rewritten as: Log(x*(x+5))=Log=(6x+12)
so x(x+5)=6x+12
x^2+5x=6x+12
x^2-x-12=0
(x+3)(x-4)=0
x=-3 or x=4
x cannot be negative here, so x=4 is the only solution