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Algebra

Blazing goIITian

Joined:	15 Jul 2008
Post:	315

8 Oct 2008 20:53:34 IST

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To prove 1=2 PF: 1^1 =1 (eqaution 1) 1^2=1 (quation 2) From equation 1 & 2 1^1=1^2

None

To prove 1=2
PF:
1^1 =1 (eqaution 1)
1^2=1 (quation 2)
From equation 1 & 2
1^1=1^2

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Comments (9)

STONE COLD RATTLESNAKE

Blazing goIITian

Joined: 15 Jul 2008

Posts: 315

8 Oct 2008 20:54:02 IST

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1^1 =1 (eqaution 1)
1^2=1 (quation 2)
From equation 1 & 2
1^1=1^2
Now bases are equal.( properties of exponents)
Therefore powers have to be equal
Thus 1=2

rohit

Blazing goIITian

Joined: 1 Jul 2007

Posts: 301

8 Oct 2008 20:56:03 IST

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by this method ,you can prove any real no. is equal to any other no...

STONE COLD RATTLESNAKE

Blazing goIITian

Joined: 15 Jul 2008

Posts: 315

8 Oct 2008 20:58:00 IST

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Yes this mathematically flawless yet logically absurd.

STONE COLD RATTLESNAKE

Blazing goIITian

Joined: 15 Jul 2008

Posts: 315

8 Oct 2008 20:58:30 IST

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Rate me for my innovative method......

Nadeem

Blazing goIITian

Joined: 25 Aug 2007

Posts: 521

13 Oct 2008 11:27:09 IST

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What do you mean mathematically flawless??

Vivek Roy

Blazing goIITian

Joined: 20 May 2008

Posts: 332

13 Oct 2008 12:07:20 IST

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You have no knowledge in mathematics............ The conclusion you have reached is absurd ........ it is only true for prime numbers...... and 1 IS NOT A PRIME NUMBER

Tiger on prowl.......

Blazing goIITian

Joined: 27 Sep 2008

Posts: 545

13 Oct 2008 13:18:56 IST

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in first place,exponent function is defined for bases greater than zero and not equal to one

NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

8 Jul 2009 23:14:46 IST

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@ above all..

Firstly ..it is not only for prime numbers..

check this out : 4^3 = 4^x ..x =3 ..4 is not prime.

secondly ..the number "1" is neither prime nor composite.

NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

8 Jul 2009 23:25:49 IST

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And for the flaw...

well here it goes..

let a > 0

a^b = a^c

taking log on both the sides :

b.log(a) = c.log(a)

b=c ..only when we can cancel out log(a)..

and we know we cant cancl out zeroes...

hence..log(a) must not equal 0

hence..a must not be 1.

the end.

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