SOLUTION: Solve the equation, show work,and give exact answers 4. ln(x+1)-ln(x) = 2

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Question 369710: Solve the equation, show work,and give exact answers
4. ln(x+1)-ln(x) = 2
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x+1)-ln(x) = 2
ln((x+1)/x) = 2
(x+1)/x = e^2
x+1 = x*e^2
x - x*e^2 = -1
x*(1 - e^2) = -1
x = -1/(1 - e^2)
x = 1/(e^2 - 1)