Problem with simplify(x^(1/log(x)).

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John Billingham
John Billingham il 12 Set 2014
Commentato: jin yong il 8 Feb 2023
>> sym x;
>> assume(x>0)
>> simplify(x^(1/log(x)),'IgnoreAnalyticConstraints',true)
>> ans = x^(1/log(x))
Note that x^(1/log(x))=e. Why won't this expression simplify?
  1 Commento
jin yong
jin yong il 8 Feb 2023
syms x a;
assume(x>0)
x=exp(a)
x = 
simplify(x^(1/log(x)),'IgnoreAnalyticConstraints',true)
ans = 
e

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Friedrich
Friedrich il 12 Set 2014
Hi,
have you tried increasing the number of simplification steps?
>> simplify(x^(1/log(x)),'steps',10)
ans =
exp(1)
  1 Commento
John Billingham
John Billingham il 12 Set 2014
The answer to your question is clearly 'no'! It seems crazy that you have to do that for such a simple expression.
Thanks

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