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#1 2025-08-06 15:36:00

Liuz
Member
From: Himalayas
Registered: 2025-08-04
Posts: 34
Website

Proof of inequality

How to prove the arithmetic square root of ab<(b-a)/(lnb-lna)<(a+b)/2
(b>a>0)

Last edited by Liuz (Yesterday 21:41:31)


实迷途其未远,觉今是而昨非。      I did get lost. Maybe I haven't gone too far. Now I have come to realize how wrong I have been all those years.

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#2 Yesterday 15:27:40

Liuz
Member
From: Himalayas
Registered: 2025-08-04
Posts: 34
Website

Re: Proof of inequality

Anyone  can help me?


实迷途其未远,觉今是而昨非。      I did get lost. Maybe I haven't gone too far. Now I have come to realize how wrong I have been all those years.

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#3 Yesterday 15:40:24

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 51,261

Re: Proof of inequality

Be patient. Your question will be answered.


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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#4 Yesterday 20:27:55

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 293

Re: Proof of inequality

lnb? lna?


Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

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#5 Yesterday 21:15:09

Liuz
Member
From: Himalayas
Registered: 2025-08-04
Posts: 34
Website

Re: Proof of inequality

lna: the Napierian logarithm of a (also the natural logarithm of a)


实迷途其未远,觉今是而昨非。      I did get lost. Maybe I haven't gone too far. Now I have come to realize how wrong I have been all those years.

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#6 Yesterday 23:55:11

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 293

Re: Proof of inequality

I see, thank you. I usually write it as ln(a).


Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

Offline

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