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

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

ImPo$$!BLe = NoTH!nG

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

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

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 >_<

Why did the vector cross the road?

It wanted to be normal.

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

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

how do they solve it ?

ImPo$$!BLe = NoTH!nG

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

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

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

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

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

aha, forgot that one

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

You talk about graphics, but I don't see any.

Here's one:

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

IPBLE: Increasing Performance By Lowering Expectations.

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

Very interesting function.

What about a^x-x^a?

IPBLE: Increasing Performance By Lowering Expectations.

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

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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