SOLUTION: e^x(2e^x-1)=10

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Question 964624: e^x(2e^x-1)=10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is a quadratic equation in disguise.
Let u=e%5Ex
u%282u-1%29=10
2u%5E2-u-10=0
%28u%2B2%29%282u-5%29=0
Two solutions:
u%2B2=0
u=-2
e%5Ex=-2
Not possible.
2u-5=0
2u=5
u=5%2F2
e%5Ex=%285%2F2%29
x=ln%285%2F2%29
highlight%28x=ln%285%29-ln%282%29%29