SOLUTION: ln(x+2)+lnx=ln(x+12)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: ln(x+2)+lnx=ln(x+12)      Log On


   

Question 1007273: ln(x+2)+lnx=ln(x+12)
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Using the laws of logarithms on
ln(x+2)+lnx=ln(x+12)
we get
ln x(x+2) = ln (x+12)
x(x+2) = x+12
x^2 + 2x = x + 12
x^2 + x - 12 = 0
(x + 4)(x - 3) = 0
x = -4 or x = 3
but x cannot be -4, so
x = 3