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Question-142503




Question Number 142503 by Gbenga last updated on 01/Jun/21
Answered by mr W last updated on 01/Jun/21
x^x^(40)  =50^x   x^x^(39)  =50  (x^x^(39)  )^(39) =50^(39)   (x^(39) )^x^(39)  =50^(39)   let t=x^(39)   t^t =59^(39)   ln t=((39ln 50)/t)  39ln 50=((39ln 50)/t)e^((39ln 50)/t)   ((39ln 50)/t)=W(39ln 50)  t=((39ln 50)/(W(39ln 50)))  x^(39) =t=((39ln 50)/(W(39ln 50)))  ⇒x=(((39ln 50)/(W(39ln 50))))^(1/(39))          ≈(((39ln 50)/(3.71518721)))^(1/(39)) =1.099946
xx40=50xxx39=50(xx39)39=5039(x39)x39=5039lett=x39tt=5939lnt=39ln50t39ln50=39ln50te39ln50t39ln50t=W(39ln50)t=39ln50W(39ln50)x39=t=39ln50W(39ln50)x=39ln50W(39ln50)3939ln503.7151872139=1.099946

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