Math Is Fun Forum

imcute

Member

Registered: 2022-09-28

Posts: 176

What's this?

t=1.44466786100976618
the root of "|x-logt x| has 1 root“

Last edited by imcute (2022-12-14 17:48:06)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: What's this?

Hi imcute,

The approximate value of xth root of x (maximum value) for any real number is approximate value 1.444667861.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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imcute

Member

Registered: 2022-09-28

Posts: 176

Re: What's this?

Hi imcute,

The approximate value of xth root of x (maximum value) for any real number is approximate value 1.444667861.

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Oh.
Why does it also appear in that logrhythmitic equation?

imcute

Member

Registered: 2022-09-28

Posts: 176

Re: What's this?

i get it
one root means that the valley is at zero for a parabola looking shape
so ddx(x-logt x)=0=1-1/xlnt
so x is always logt e on valleys
logt e-logt2 e=0
logt (e/logt e)=0
e/logt e=1
elnt=1
lnt=1/e
t=e^1/e