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#1 2022-12-14 16:00:05

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)

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#2 2022-12-14 16:40:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

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.

.


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.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2022-12-14 17:48:48

imcute
Member
Registered: 2022-09-28
Posts: 176

Re: What's this?

ganesh wrote:

Hi imcute,

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

.

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

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#4 2022-12-14 18:00:20

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

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