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

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) (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:

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

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