Urgent: solve simpple equation using logs

[Guest]

Hi,

I have to find pi in terms of Ni and N for the following equation:

[tex]pi^{Ni} * (1-pi)^{N-Ni} = Ni/N[/tex]

So I'm taking logs of it all.. But help! Once I'm into the equation and get something like this:

[tex]Ni * log (pi) + N log (1 - pi) - Ni log (1 - pi) = log (Ni) - log (N)[/tex]

Now how do I get rid of the logs and express pi alone?

Please help!

[Guest]

I would solve it but I does not understand anything in your log problem.

[amit28it]

Can you explain it in a better way ??????

[HallsofIvy]

That's a polynomial equation of degree N. There is NO general method to solve such equations. Logarithms will not help.