SOLUTION: What is the solution to the equation ln( x+1) - ln(x) = 2

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Question 235930: What is the solution to the equation ln( x+1) - ln(x) = 2
Answer by stanbon(75887) About Me  (Show Source):
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What is the solution to the equation ln( x+1) - ln(x) = 2
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ln[(x+1)/x] = 2
(x+1)x = e^2
x^2 + x - e^2 = 0
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x = [-1 +- sqrt(1 -4*-e^2)]/2
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x = [ -1 +- sqrt(1+4e^2)]/2
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x = (-1/2) + (1/2)sqrt(1+4e^2) or x = (-1/2)-(1/2)sqrt(1+4e^2)
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Cheers,
Stan H.