solving non-algebraic exponential equations
- To: mathgroup at smc.vnet.net
- Subject: [mg38059] solving non-algebraic exponential equations
- From: eva.hoehberger at gmx.net (Eva Hohberger)
- Date: Thu, 28 Nov 2002 14:08:00 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
I am trying to solve the following equation for given values of two parameters a and b: NSolve[Exp[-Pi*a/x] + Exp[-Pi*b/x] == 1, x] This is straightforward for integer values of the parameters a and b (e.g. a=1, b=1). However, Mathematica is unable to compute the solution for non-integer values of a and b (e.g. a=1.1, b=1.1; even a=1.0, b=1.0 doesn't work). Instead, the error message "Solve::"tdep": "The equations appear to involve the variables to be solved for in an essentially non-algebraic way." is produced. Can anybody point out a way to overcome this problem and to obtain a solution? Thanks, Eva