Solving x^y=y^x

10282018, 08:21 PM
(This post was last modified: 10282018 08:25 PM by Albert Chan.)
Post: #10




RE: Solving x^y=y^x
(10262018 04:54 PM)Erwin Wrote: Definiton of the Wfunction in BASIC Unless W function is builtin, it might be easier solve directly for infinite tetration. So, for any x, solve for y, such that x^y = y Below solved with my Casio FX115MS solver, using x as initial guess for y: For x=1.4, y = 1.886663306 For x= √2, y = 2 For x=1.5, y does not converge Last x > e^(1/e), thus diverged. see Exponential Reiterated 

« Next Oldest  Next Newest »

Messages In This Thread 
Solving x^y=y^x  sasa  10242018, 06:06 PM
RE: Solving x^y=y^x  Albert Chan  10242018, 07:21 PM
RE: Solving x^y=y^x  Dieter  10242018, 07:37 PM
RE: Solving x^y=y^x  John Keith  10242018, 08:23 PM
RE: Solving x^y=y^x  CyberAngel  10282018, 08:22 PM
RE: Solving x^y=y^x  sasa  10242018, 08:45 PM
RE: Solving x^y=y^x  Albert Chan  10242018, 09:58 PM
RE: Solving x^y=y^x  ijabbott  10242018, 10:35 PM
RE: Solving x^y=y^x  Erwin  10262018, 04:54 PM
RE: Solving x^y=y^x  Albert Chan  10282018 08:21 PM
RE: Solving x^y=y^x  Erwin  10282018, 08:51 PM
RE: Solving x^y=y^x  Tim Wessman  10292018, 03:14 AM
RE: Solving x^y=y^x  sasa  10242018, 07:45 PM

User(s) browsing this thread: 1 Guest(s)