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RE: A tricky equation

----- Original Message -----
From: Anastasius Moumtzoglou <anas1 at>
To: mathgroup at
Subject: [mg29013] [mg29005] A tricky equation

> I would be much obliged if you could help me with the following
> equation.
> b*k^(-a)-c*k^(-1)=1
> Mathematica returns that the above equation is a transcedental one. So,
> I'm thinking of linearization. Do you think there is a way to do it?
I suppose the unknown is k, and we don't know anything about a,b,c.
A way to solve for particular values of a,b,c :
sol[a_, b_, c_] := Solve[b*k^(-a) - c*k^(-1) == 1, k]
sol[2., 3, 4]
{{k -> -4.64575}, {k -> 0.645751}}
sol[.5, 3, 1]
{{k -> 0.145898}, {k -> 6.8541}},etc.

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