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# Easy number property problem...or is it?

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Intern
Joined: 10 Jun 2009
Posts: 29

Kudos [?]: 3 [0], given: 0

Location: Stockholm, Sweden
Easy number property problem...or is it? [#permalink]

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15 Jun 2009, 00:38
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For how many integers N is 2^N = N^2

1) None
2) One
3) Two
4) Three
5) More than three

Kudos [?]: 3 [0], given: 0

Manager
Joined: 08 Feb 2009
Posts: 144

Kudos [?]: 60 [0], given: 3

Schools: Anderson
Re: Easy number property problem...or is it? [#permalink]

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15 Jun 2009, 11:29
PhilosophusRex wrote:
For how many integers N is 2^N = N^2

1) None
2) One
3) Two
4) Three
5) More than three

For N = 2 & 4, the equation is satisfied.

Kudos [?]: 60 [0], given: 3

Intern
Joined: 08 Jun 2009
Posts: 33

Kudos [?]: 42 [0], given: 0

Re: Easy number property problem...or is it? [#permalink]

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15 Jun 2009, 20:00
goldeneagle94 wrote:

1) None
2) One
3) Two
4) Three
5) More than three

For N = 2 & 4, the equation is satisfied.

Is there any number property associated? Or is it by trial and error?

Kudos [?]: 42 [0], given: 0

Manager
Joined: 08 Feb 2009
Posts: 144

Kudos [?]: 60 [0], given: 3

Schools: Anderson
Re: Easy number property problem...or is it? [#permalink]

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16 Jun 2009, 07:31
Jozu wrote:
goldeneagle94 wrote:

1) None
2) One
3) Two
4) Three
5) More than three

For N = 2 & 4, the equation is satisfied.

Is there any number property associated? Or is it by trial and error?

If you plug-in numbers from -2 to 6, you will see a trend. After which point, there is no need to plug-in because LHS of the equation starts to turn into an enormous value.

Kudos [?]: 60 [0], given: 3

Manager
Joined: 16 Apr 2009
Posts: 231

Kudos [?]: 101 [0], given: 10

Schools: Ross
Re: Easy number property problem...or is it? [#permalink]

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16 Jun 2009, 08:03
Quote:
For how many integers N is 2^N = N^2

1) None
2) One
3) Two
4) Three
5) More than three

Good question.
2^2=2^2
2^4=4^2
IMO ,OA is C
_________________

Keep trying no matter how hard it seems, it will get easier.

Kudos [?]: 101 [0], given: 10

Re: Easy number property problem...or is it?   [#permalink] 16 Jun 2009, 08:03
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