SOLUTION: x^(ln(x-3))=e^-2 Find the value of x

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Question 944372: x^(ln(x-3))=e^-2
Find the value of x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^(ln(x-3))=e^-2
Find the value of x
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Take the natural log of both sides to get::
(ln(x-3))*ln(x) = -2
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Graph the left side and the right side on the same set of axes::
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28ln%28x-3%29%29%28ln%28x%29%29%2C-2%29
Determine the intersection.
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Ans:: x = 3.17727..
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Cheers,
Stan H.
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