SOLUTION: Question goes like this.... Solve Equation. log x + log (x+2) = log 3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Question goes like this.... Solve Equation. log x + log (x+2) = log 3      Log On


   

Question 35350: Question goes like this....
Solve Equation.
log x + log (x+2) = log 3
Answer by narayaba(40) About Me  (Show Source):
You can put this solution on YOUR website!
log x + log (x+2) = log 3
log(a) + log(b) = log(a*b)
log(x) + log(x+2) = log(x*(x+2)) = log3
log(x*(x+2)) = log3
log on the right and left are of the same base
therefore x(x+2) = 3
x^2 +2x -3 = 0 factorising
(x+3)(x-1) = 0
x=-3 or x = 1
log of negative number is not possible hence x =1