I'm trying to work out a problem, and it comes down to the form A*e^(b*t)+C*e^(f*t) = g. Where everything is constant but t, and I am trying to solve for t. How would one go about this?

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- Nov 4th 2009, 09:05 PMEtbauersolvable?
I'm trying to work out a problem, and it comes down to the form A*e^(b*t)+C*e^(f*t) = g. Where everything is constant but t, and I am trying to solve for t. How would one go about this?

- Nov 4th 2009, 09:20 PMBacteriusReply
Is $\displaystyle e$ the neperian logarithm ($\displaystyle ln$) base ?

And when you say*constant*, you mean*known*? Otherwise you could just sieve, if you always have the same values except $\displaystyle t$ ... - Nov 4th 2009, 10:11 PMEtbauer
yes, e is ln based. And by constant I simply mean not functions of anything else.

So, I am looking to solve for t in terms of the other variables.

This function is a result of setting two equations equal to each otehr so I am trying to solve at what time t they become equal for different parameters. - Nov 4th 2009, 10:34 PMBacteriusReply
It may be useful to back up and look what A means for C, for instance. You might be able to find common factors, or even better, you may be able to substitute ... So can you post the integrality of the calculations you made ? There might be something you didn't see that makes the solving obvious.

- Nov 4th 2009, 11:44 PMCaptainBlack
- Nov 5th 2009, 04:12 PMEtbauer
ok, here is whre i got that form from, but realize that it does not belong in this forum. As I say in the paper, even if there is another way to go about it, i am curious to know if equations of that form can be solved.

- Nov 5th 2009, 05:56 PMBacterius
- Nov 5th 2009, 07:54 PMCaptainBlack