Math Is Fun Forum

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 (Today 21:41:31)

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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.

Liuz

Member

From: Himalayas

Registered: 2025-08-04

Posts: 34

Website

Re: Proof of inequality

Anyone  can help me?

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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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 51,260

Re: Proof of inequality

Be patient. Your question will be answered.

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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.

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

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 291

Re: Proof of inequality

lnb? lna?

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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.

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)

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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.