SOLUTION: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) ln x + ln(x + 2) = 1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) ln x + ln(x + 2) = 1      Log On


   

Question 582495: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.)
ln x + ln(x + 2) = 1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
ln x + ln(x + 2) = 1
ln(x(x+2)=1
ln(x^2+2x)=1
e^1=x^2+2x
x^2+2x-e=0
solve by quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=2, c=-e
x=[-2±√(4-4*1*-e)]/2*1
e≈2.71828
x=[-2±√(4+4e)]/2
x=[-2±3.86]/2
x≈.93
or
x≈-2.93