anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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TuringTest
  • TuringTest
I don't think there is a simple algebraic way to do this. There are perhaps more advanced techniques oh satellite know I bet
anonymous
  • anonymous
\[\ln(t)-t<0\] so there is no solution
TuringTest
  • TuringTest
no real solution...

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TuringTest
  • TuringTest
http://www.wolframalpha.com/input/?i=+solve+ln%28t%29-t%3Dln%289.21%29
anonymous
  • anonymous
you are not going to find that using algebra, i am almost certain
anonymous
  • anonymous
any ideas how wolfram took it to imaginary plane
anonymous
  • anonymous
ln(t)−t=2.22.....
TuringTest
  • TuringTest
yeah can't proceed from there because of what sat pointed out
anonymous
  • anonymous
what's the technique then to solve it going to imaginary numbers?
TuringTest
  • TuringTest
It depends on the situation de moivre, complex analysis, etc... sometimes you can get imaginary numbers with just the quadratic formula
anonymous
  • anonymous
you 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
anonymous
  • anonymous
thanks for the help

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