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# 2^x)-((2^(x-2))=3*(2^13), what is the value of x? A) 9

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Joined: 06 Feb 2006
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2^x)-((2^(x-2))=3*(2^13), what is the value of x? A) 9  [#permalink]

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10 Feb 2007, 08:42
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(2^x)-((2^(x-2))=3*(2^13), what is the value of x?

A) 9
B) 11
C) 13
D) 15
E) 17

Kudos [?]: 129 [0], given: 0

Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 442 [0], given: 49

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10 Feb 2007, 08:58
(2^x)-((2^(x-2))=3*(2^13), what is the value of x?

A) 9
B) 11
C) 13
D) 15
E) 17

2^x(1 - 2^-2) = 2^x ( 3/4)

2^x ( 3/4) = 3 * 2^13

2^x = 4*2^13 = 2^15

x = 15

Kudos [?]: 442 [0], given: 49

Manager
Joined: 10 Dec 2005
Posts: 112

Kudos [?]: 5 [0], given: 0

Re: PS- find x [#permalink]

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10 Feb 2007, 09:27
SimaQ wrote:
(2^x)-((2^(x-2))=3*(2^13), what is the value of x?

A) 9
B) 11
C) 13
D) 15
E) 17

(2^x)-((2^(x-2))

(2^x) (1-1/4)

(2^x) * 3/4
(2^x-2)*3 = 3*(2^13)
x-2 = 13
x = 15
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Kudos [?]: 5 [0], given: 0

Re: PS- find x   [#permalink] 10 Feb 2007, 09:27
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# 2^x)-((2^(x-2))=3*(2^13), what is the value of x? A) 9

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