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# gmatprept1q16

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Director
Joined: 23 May 2008
Posts: 799

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20 Jun 2009, 16:36
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Current Student
Joined: 03 Aug 2006
Posts: 115

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20 Jun 2009, 17:18
1
KUDOS
What is $$x$$?

$$2^x-2^{x-2}=3(2^{13})$$

$$\Rightarrow 2^x-\frac{2^x}{2^2}=3(2^{13})$$

$$\Rightarrow \frac{2^22^x-2^x}{2^2}=3(2^{13})$$

$$\Rightarrow \frac{2^x(2^2-1)}{2^2}=3(2^{13})$$

$$\Rightarrow 2^x(4-1)=3(2^{13})(2^2)$$

$$\Rightarrow 3(2^x)=3(2^{15})$$

$$\Rightarrow 2^x=2^{15}$$

$$\Rightarrow x=15$$

Note: I could not see the image properly, I think the second half of the question had $$x^{13}$$. If the value was other than 13 then the answer would be that value + 2.
Manager
Joined: 28 Jan 2004
Posts: 201
Location: India

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21 Jun 2009, 00:35
bigtreezl, after uploading an image pls. check if it is easily visible to others. I don't know how nookway looked at the quesion but i was not able to figure out the question. I am sure you will want all of us to do the same.
Re: gmatprept1q16   [#permalink] 21 Jun 2009, 00:35
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