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

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Intern
Joined: 10 Jun 2009
Posts: 31
Location: Stockholm, Sweden
Followers: 0

Kudos [?]: 1 [0], given: 0

Easy number property problem...or is it? [#permalink]  14 Jun 2009, 23:38
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
For how many integers N is 2^N = N^2

1) None
2) One
3) Two
4) Three
5) More than three
Manager
Joined: 08 Feb 2009
Posts: 147
Schools: Anderson
Followers: 3

Kudos [?]: 33 [0], given: 3

Re: Easy number property problem...or is it? [#permalink]  15 Jun 2009, 10:29
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.
Intern
Joined: 08 Jun 2009
Posts: 33
Followers: 0

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

Re: Easy number property problem...or is it? [#permalink]  15 Jun 2009, 19:00
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?
Manager
Joined: 08 Feb 2009
Posts: 147
Schools: Anderson
Followers: 3

Kudos [?]: 33 [0], given: 3

Re: Easy number property problem...or is it? [#permalink]  16 Jun 2009, 06:31
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.
Manager
Joined: 16 Apr 2009
Posts: 246
Schools: Ross
Followers: 2

Kudos [?]: 38 [0], given: 10

Re: Easy number property problem...or is it? [#permalink]  16 Jun 2009, 07:03
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
_________________

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Re: Easy number property problem...or is it?   [#permalink] 16 Jun 2009, 07:03
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