Solving x^y=y^x

10262018, 04:54 PM
Post: #9




RE: Solving x^y=y^x
(10242018 10:35 PM)ijabbott Wrote:(10242018 09:58 PM)Albert Chan Wrote: Found a very close solution for infinite tetration c = x^c, or ln(c)/c = ln(x). Hallo, The question in the video for Infinite Tetration was the point for me to put out my old calculator. So I can only show a solution for Infinite Tetration on the HP71b to see if the number converges. Define the WFunktion y=x*exp(x) and put the formula on minute 12:10 in the keyboard. Looks like like this: Definiton of the Wfunction in BASIC 10 DEF FNW(X) = FNROOT(0,10,FVAR*EXP(FVAR)X) and then his example with 1.4 on the keyboard calling there defined Wfunction: FNW((LN(1.4)))/(LN(1.4)) Result: 1.88666330624 and then his example with SQR(2) on the keyboard calling there defined Wfunction: FNW((LN(SQR(2)))/(LN(SQR(2))) Result: 1.99999999998 not exactly 2 but this seems is a limitation on the more then 30 year old calculator. The possibility for defining a function and using it straight from the keyboard was a revolution in this times. best regards Erwin 

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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

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