Algebraic of a variable to itself

  • Thread starter jzimmerm
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  • #1
jzimmerm
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I have been trying to solve algebraicly an equation of the following form for x with little success because x appears in the base and the exponent. Any help would be greatly appreciated.

a/b=(x/c)^x

A log approach only yields x*log(x/c)=log (a/b) which really doesn't get me anywhere.
 

Answers and Replies

  • #2
Werg22
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Well, you won't go very far! This is impossible to solve algebraically.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
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Should be able to use the Lambert W function- it is defined as the inverse to the function xex.
 

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