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Topic: Power equation
Replies: 4   Last Post: Apr 26, 2012 5:58 PM

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Dave Dodson

Posts: 690
Registered: 12/13/04
Re: Power equation
Posted: Apr 26, 2012 1:22 PM
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On Thursday, April 26, 2012 10:47:43 AM UTC-5, Diogo Alves wrote:
> In the following equation:
> c = sum_i( ( p(i)^a ) * b(i) ) / sum_i( p(i)^a )
> "c", "p(i)" and "b(i)" are known.
> How do I calculate "a"?

f(x) = sum_i( ( p(i)^x ) * b(i) ) / sum_i( p(i)^x ) - c
and use a numeric technique such as Newton's Method to solve the equation f(x) = 0.


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