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2 (power x) - 2 (power x-2) = 3(2 (power 13)) a. 9 b. 11 c.

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Intern
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Joined: 30 Oct 2008
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2 (power x) - 2 (power x-2) = 3(2 (power 13)) a. 9 b. 11 c. [#permalink] New post 24 Nov 2008, 08:22
2 (power x) - 2 (power x-2) = 3(2 (power 13))

a. 9

b. 11

c. 13

d. 15

e. 17

How do you derive at the correct answer. Please help, thanks.
Director
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Joined: 27 Jun 2008
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WE 1: Investment Banking - 6yrs
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Re: GMATPrep Test 1 Problem [#permalink] New post 24 Nov 2008, 09:37
jdphenom316 wrote:
2 (power x) - 2 (power x-2) = 3(2 (power 13))

a. 9

b. 11

c. 13

d. 15

e. 17

How do you derive at the correct answer. Please help, thanks.



2^x - 2^(x-2) = 3.2^13....Is the question missing something? like whats the value of x?
Manager
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Re: GMATPrep Test 1 Problem [#permalink] New post 24 Nov 2008, 10:46
2^x - 2^(x-2) = 3(2^13)
2^x - 2^x/2^2 = 3(2^13)
2^x (1-1/4) = 3(2^13)
2^x (3/4) = 3(2^13)
3(2^(x-2))=3(2^13)

x-2=13
x=15
Manager
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Re: GMATPrep Test 1 Problem [#permalink] New post 24 Nov 2008, 11:14
15

exactly the same way as twilight did
Re: GMATPrep Test 1 Problem   [#permalink] 24 Nov 2008, 11:14
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2 (power x) - 2 (power x-2) = 3(2 (power 13)) a. 9 b. 11 c.

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