SOLUTION: solve for x and simplify: log(base a) x + log (base a) (x+2)=2 where a>0, a does not equal 1

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve for x and simplify: log(base a) x + log (base a) (x+2)=2 where a>0, a does not equal 1      Log On


   



Question 1016461: solve for x and simplify:
log(base a) x + log (base a) (x+2)=2 where a>0, a does not equal 1

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
log(base a) x + log (base a) (x+2) = 2
becomes
log[x(x+2)] = 2
x(x+2) = a^2
x^2 + 2x - a^2 = 0
Now you can apply the quadratic to solve this...