Question 694605: e^4x-12e^2x+20=0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! e^4x-12e^2x+20=0
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It's a quadratic in variable e^(2x):
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(e^(2x))^2 -12e^(2x) +20 = 0
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Factor:
(e^(2x))-10e^(2x)-2e^(2x) + 20 = 0
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e^(2x)[e^(2x)-10] - 2[e^(2x)-10] = 0
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(e^(2x)-10)(e^(2x)-2) = 0
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e^(2x) = 10 or e^(2x) = 2
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2x = ln(10) or 2x = ln(2)
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x = ln(10)/2 or x = ln(2)/2
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x = ln(sqrt(10)) or x = ln(sqrt(2))
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cheers,
Stan H.
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