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 Aug 4 awarded Nice Question Apr 12 awarded Popular Question Jul 2 awarded Curious Dec 20 comment Calculate base and coefficient for power curve through 3 non-linear points Thanks. I had another problem that apparently also requires Newton's method to solve. I have a personal friend who's up on them. Time to speak to him. I appreciate your time & help. Dec 20 accepted Calculate base and coefficient for power curve through 3 non-linear points Dec 20 comment Calculate base and coefficient for power curve through 3 non-linear points Thanks for your answer. So basically, the bottom line is there isn't a straightforward formula. My current algorithm takes about 131 steps to get the result accurate to the maximum 64 bit floating point resolution, guaranteed. Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 72 characters in body Dec 19 comment Calculate base and coefficient for power curve through 3 non-linear points Whatever the value of B, it results in x mapping to the second bucket (#1, #0 being first). Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points deleted 8 characters in body Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 95 characters in body Dec 19 comment Calculate base and coefficient for power curve through 3 non-linear points $r$ is part of the unknown formula that I need in order to find $b$ and $R$. Yes, I could scrap $r$ and call it $B$. The graph should be stepped, but I was merely trying to show it's curved. Maybe I should remove it. Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 270 characters in body Dec 19 comment Calculate base and coefficient for power curve through 3 non-linear points I hope my edits help clarify the question. $r=B$ Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 270 characters in body Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points deleted 48 characters in body Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 123 characters in body Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 133 characters in body Dec 19 revised Calculate base and coefficient for power curve through 3 non-linear points added 133 characters in body Dec 19 comment Calculate base and coefficient for power curve through 3 non-linear points Why the downvote? Only useful with explanation. Dec 19 asked Calculate base and coefficient for power curve through 3 non-linear points