SOLUTION: Please help me solve this exponential equation: (e^x + e^-x) / (e^x - e^-x) = 3
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Question 723751: Please help me solve this exponential equation: (e^x + e^-x) / (e^x - e^-x) = 3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(e^x + e^-x) / (e^x - e^-x) = 3
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(e^x + (1/e^x))/ (e^x - (1/e^x)) = 3
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(e^(2x) + 1)/e^x] / (e^(2x) -1)/e^x = 3
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[e^(2x) + 1)/(e^(2x)-1 = 3
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e^(2x) + 1 = 3e^(2x) - 3
----
2e^(2x) = 4
---
e^(2x) = 2
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2x = ln(2)
x = ln(2)/2
x = 0.3466
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Cheers,
Stan H.
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