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#1 2006-04-30 01:51:51

RauLiTo
Member
From: Bahrain
Registered: 2006-01-11
Posts: 142

X2x2

i am a student in my second year in a secondry school maybe i didn't learn how to solve this type of equation or maybe i don't know how ... my friend asked me to solve it ... who can solve it please?

X ^ 2 = 2 ^ X

thanks


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Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

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#2 2006-04-30 01:59:42

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: X2x2

I have no idea how you would solve that algebraically, but I can tell that there is a solution of 4.

I don't *think* there are any others.

Edit: ...But there are. I can't believe I missed X=2 >_<


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#3 2006-04-30 02:42:20

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: X2x2

2, 4, and -0.766664695962


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#4 2006-04-30 03:13:04

RauLiTo
Member
From: Bahrain
Registered: 2006-01-11
Posts: 142

Re: X2x2

how do they solve it ?


ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

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#5 2006-04-30 03:19:50

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: X2x2

Try by hand/head, use a brute force method, etc...


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#6 2006-04-30 03:38:08

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: X2x2

Graphically is the easiest way to go.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#7 2006-04-30 03:50:07

Patrick
Real Member
Registered: 2006-02-24
Posts: 1,005

Re: X2x2

aha, forgot that one smile


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#8 2006-04-30 20:24:16

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,905

Re: X2x2

You talk about graphics, but I don't see any.
Here's one:

Last edited by krassi_holmz (2006-04-30 20:25:07)


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#9 2006-04-30 20:31:07

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,905

Re: X2x2

Very interesting function.
What about a^x-x^a?


IPBLE:  Increasing Performance By Lowering Expectations.

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#10 2006-04-30 20:38:07

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,905

Re: X2x2

3^x-x^3:

Last edited by krassi_holmz (2006-04-30 20:39:50)


IPBLE:  Increasing Performance By Lowering Expectations.

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