Solving an equation

  • Thread starter physucsc11
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  • #1
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Homework Statement


To solve the following equation for x in terms of R and 3 constants a,b, and c:

R = ((a^-x)-(b^-x))/((c^-x)-(a^-x))


Homework Equations



Just the given equation



The Attempt at a Solution



I have tried taking the natural log of both sides but that doesn't seem to get me anywhere. Any suggestions?
 

Answers and Replies

  • #2
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Your equation can be rewritten as
[tex]R = \frac{1/a^x - 1/b^x}{1/c^x - 1/a^x}[/tex]

I would start with combining the two expressions in the numerator and the two in the denominator and simplify, then see where that takes me.
 

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