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Solving x^y=y^x
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10-24-2018, 07:37 PM
(This post was last modified: 10-24-2018 07:38 PM by Dieter.)
Post: #3
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RE: Solving x^y=y^x
(10-24-2018 06:06 PM)sasa Wrote: This guy have quite interesting samples to play with... I didn't watch the video, but this equation can be directly solved by means of the Lambert W function. The WP34s, for example, handles this easily: LN RCL/ L CHS Wp RCL/ L Enter x, get y and vice versa. Replace Wp with Wm (the other branch of Lambert's W function) and get the second solution. For x=e both solutions are equal (x=y=e) X=2 => Y=2 X=3 => Y=2,47805268... X=4 => Y=2 So, does the Prime feature the W function? Dieter |
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| Messages In This Thread |
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Solving x^y=y^x - sasa - 10-24-2018, 06:06 PM
RE: Solving x^y=y^x - Albert Chan - 10-24-2018, 07:21 PM
RE: Solving x^y=y^x - Dieter - 10-24-2018 07:37 PM
RE: Solving x^y=y^x - John Keith - 10-24-2018, 08:23 PM
RE: Solving x^y=y^x - CyberAngel - 10-28-2018, 08:22 PM
RE: Solving x^y=y^x - sasa - 10-24-2018, 08:45 PM
RE: Solving x^y=y^x - Albert Chan - 10-24-2018, 09:58 PM
RE: Solving x^y=y^x - ijabbott - 10-24-2018, 10:35 PM
RE: Solving x^y=y^x - Erwin - 10-26-2018, 04:54 PM
RE: Solving x^y=y^x - Albert Chan - 10-28-2018, 08:21 PM
RE: Solving x^y=y^x - Erwin - 10-28-2018, 08:51 PM
RE: Solving x^y=y^x - Tim Wessman - 10-29-2018, 03:14 AM
RE: Solving x^y=y^x - sasa - 10-24-2018, 07:45 PM
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