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Manager
Joined: 13 Mar 2009
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Number Properties from GMATPrep (3) [#permalink]
28 Sep 2009, 00:39
Question Stats:
50% (01:28) correct
50% (01:52) wrong based on 0 sessions
Plese help me to solve that problem.
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Manager
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Re: Number Properties from GMATPrep (3) [#permalink]
28 Sep 2009, 01:11
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.
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Re: Number Properties from GMATPrep (3) [#permalink]
28 Sep 2009, 03:27
Brilliant, thank you!
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Re: Number Properties from GMATPrep (3) [#permalink]
07 Oct 2009, 12:28
how about...
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]
07 Oct 2009, 13:14
good explanation AKProdigy87
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Re: Number Properties from GMATPrep (3)
[#permalink]
07 Oct 2009, 13:14
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