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# If 2^x + 2^x + 2^x + 2^x = 2^n, what is x terms of n? A.

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Manager
Joined: 02 Aug 2007
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If 2^x + 2^x + 2^x + 2^x = 2^n, what is x terms of n? A. [#permalink]

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17 Oct 2007, 17:50
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If 2^x + 2^x + 2^x + 2^x = 2^n, what is x terms of n?

A. n/4
B. 4n
C. 2n
D. n-2
E. n+2
Manager
Joined: 25 Aug 2007
Posts: 70
Schools: HBS '10
Followers: 1

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

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17 Oct 2007, 18:11
D - try picking numbers

If x = 2, the left side = 4 + 4 + 4 + 4 (16), therefore n = 4... [n-2 = x]

Lets double check with x =3
8 + 8 + 8 + 8 (32); n = 5 [n-2 = x]

And since I'm only a minute in, lets try x = 4

16 + 16 + 16 + 16 (64); n = 6... [n-2 = x]

D
VP
Joined: 09 Jul 2007
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Location: London
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17 Oct 2007, 19:07
1
KUDOS
yuefei wrote:
If 2^x + 2^x + 2^x + 2^x = 2^n, what is x terms of n?

A. n/4
B. 4n
C. 2n
D. n-2
E. n+2

4*2^x=2^n

(2^2)*(2^x)=2^n

2^(x+2)=2^n

x+2=n

x=2-n

D
Re: PS Exponents Review   [#permalink] 17 Oct 2007, 19:07
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