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 August 31st, 2010, 08:49 AM #1 Newbie   Joined: Aug 2010 Posts: 3 Thanks: 0 Logarithms and Reversing them Not sure if this is the right area.... been out of math for awhile. Log10(P) =( A - (B / T) - (C * Log10(T)) + (D * T) + (( E * (F - T)) / F * T) * Log10(F - T)) Formula for r22 temperature to pressure conversion Where if T = 50 then P = 85 (rounded) Now I am trying to reverse it to Get T from P, according to Antoine Equation for pressure temperature relations T = (B / (A - Log10(P))) - C But I can't figure out the rest of the reverse equation to get the Temperature from the Pressure A = 29.35754453 B = 3845.1931152 C = 7.86103122 D = 0.002190939044 E = 305.8268131 F = 686.1 This are the Fixed Coefficients for the Whole Calculations if anyone needs them... Thanks, C.W. August 31st, 2010, 11:24 AM #2 Global Moderator   Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: Logarithms and Reversing them There isn't going to be any nice inverse formula. I'm not even sure if you could solve it explicitly with Lambert's W. The best way would be with a numerical method like the secant method or Brent's method. August 31st, 2010, 08:59 PM #3 Global Moderator   Joined: Dec 2006 Posts: 20,973 Thanks: 2224 Problem already posted and replied to here: viewtopic.php?f=13&t=15557 so topic locked. Tags logarithms, reversing Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Vidofner Applied Math 4 January 12th, 2014 08:47 AM oneup Elementary Math 4 September 2nd, 2013 04:08 AM OSearcy4 Calculus 4 October 17th, 2009 03:32 PM Gotovina7 Calculus 1 February 29th, 2008 09:30 AM Cat Number Theory 6 January 7th, 2007 07:32 PM

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