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anonymous
 5 years ago
how do you solve e^x = x
anonymous
 5 years ago
how do you solve e^x = x

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0by taking ln for both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Use Newtonraphson method

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what is the newtonraphson method?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0taking the ln does not anything

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0please help nowhereman

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0there is no analytic solution, so you should use an approximation method like Newton's tangent method

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how do you know there is no analytic solution?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you're right. ln does not solve the problem

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0oh wait, there is no solution at all, because \[ e^x >= 1 + x \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ya, e^x always larger than x, so e^x = x does not have any solution

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you are wrong. The answer is nonreal, which i am well aware of. I know what the number is to many decimal places. (Just take the ln of any number over and over again), but i have no idea how to find the number.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you have to iterate using computer methods to find this value

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you use the moivre's theorem you know that e^(ix) = isinx + cosx or something like that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I used software program and found that x=W(1), where W(z) is the product log function

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what software did you use? did u use wolfram alpha? what is the product log function?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes.. here is the definition of the function http://www.wolframalpha.com/input/?i=product+log+function
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