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anonymous
 4 years ago
does anyone know an algebraic way to solve ln(t)t=ln(9.21), a better question is there an algebraic way, I think there has to be
anonymous
 4 years ago
does anyone know an algebraic way to solve ln(t)t=ln(9.21), a better question is there an algebraic way, I think there has to be

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0I don't think there is a simple algebraic way to do this. There are perhaps more advanced techniques oh satellite know I bet

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\ln(t)t<0\] so there is no solution

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=+solve+ln%28t%29t%3Dln%289.21%29

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you are not going to find that using algebra, i am almost certain

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0any ideas how wolfram took it to imaginary plane

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0yeah can't proceed from there because of what sat pointed out

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what's the technique then to solve it going to imaginary numbers?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0It depends on the situation de moivre, complex analysis, etc... sometimes you can get imaginary numbers with just the quadratic formula

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you usually define \[\log(z)\] in the complex plane as \[\log(z)=\log(r)+i\theta\] but the function is not single values unless you specify \[0\leq \theta <2\pi\] or some other interval of length \[2\pi\] because the polar form of a complex number is not unique
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