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Overly complicated reductions?

• To: mathgroup at smc.vnet.net
• Subject: [mg77584] Overly complicated reductions?
• From: "David Rees" <w3bdevilREMOVE at THISw3bdevil.com>
• Date: Wed, 13 Jun 2007 07:36:03 -0400 (EDT)

Consider f(x)=e^(-2x)

I wanted to retreive the inverse function f^-1(x), Mathematica to the 
rescue:
\!\(Reduce[y == E\^\(\(-2\) x\), x]\)

\!\(C[1] \[Element] Integers && y != 0 &&
x == 1\/2\ \((2\ \[ImaginaryI]\ \[Pi]\ C[1] + Log[1\/y])\)\)

This can't be right, I can rearrange it to just Ln(x)/-2 on paper. What did 
I do wrong?

Thanks

• Follow-Ups:
  • Re: Overly complicated reductions?
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>