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Power equation

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Diogo Alves

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Apr 26, 2012, 11:52:12 AM4/26/12
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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"?

Ray Koopman

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Apr 27, 2012, 12:50:07 AM4/27/12
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Plot (b1*p1^a + b2*p2^a + ...) and c*(p1^a + p2^a + ...)
on the same graph as functions of 'a', and find
approximately where they cross. Then use Newton's method.
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