Number Properties from GMATPrep (3) : PS Archive
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# Number Properties from GMATPrep (3)

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Manager
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Number Properties from GMATPrep (3) [#permalink]

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27 Sep 2009, 23:39
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Difficulty:

(N/A)

Question Stats:

50% (01:28) correct 50% (01:52) wrong based on 2 sessions

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Plese help me to solve that problem.
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Manager
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Re: Number Properties from GMATPrep (3) [#permalink]

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28 Sep 2009, 00:11
I can't think of a way to approach this other than just listing the various values of n^2 and 2^n until the values diverge.

n^2 : 0, 1, 4, 9, 16, 25, 36, 49
2^n: 1, 2, 4, 8, 16, 32, 64, 128

Therefore 2 values (I didn't consider negative integers, because in the end you would be comparing integers against fractions which are obviously not equivalent.
Manager
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Re: Number Properties from GMATPrep (3) [#permalink]

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28 Sep 2009, 02:27
Brilliant, thank you!
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Re: Number Properties from GMATPrep (3) [#permalink]

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07 Oct 2009, 11:28

n.ln(2) = 2.ln (n)

ln(2)/2 = ln(n)/n

so n = 2

but that only gives me one answer..., but 4 is also correct... how is it that this non quadratic equation has 2 roots...
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Re: Number Properties from GMATPrep (3) [#permalink]

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07 Oct 2009, 12:14
good explanation AKProdigy87
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Bhushan S.
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Re: Number Properties from GMATPrep (3)   [#permalink] 07 Oct 2009, 12:14
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