SOLUTION: 2e^x.sinhx=3

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Question 1137960: 2e^x.sinhx=3
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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Recall that  sinh(x) = %28e%5Ex+-+e%5E%28-x%29%29%2F2.


Therefore, equation


    2e^x*sinh(x) = 3


is the same a


    2%2Ae%5Ex%2A%28%28e%5Ex+-+e%5E%28-x%29%29%2F2%29 = 3,   or


    e%5E%282x%29-1 = 3


    e%5E%282x%29 = 3 + 1 = 4,


     2x = ln(4)

     2x = 2*ln(2)

      x = ln(2).        ANSWER

Solved.