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Re: If 2^x-2^(x-2)=3*2^13 what is the value of x? [#permalink]

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30 Aug 2014, 06:14

Hello everyone,

this question came up as one of the early ones in my gmat prep exam (scored very badly). Is this really a sub-600 question?

I always have struggles with those questions (exponents, roots), but I DO REALLY understand the explanation. However, as soon as I come across a similar problem, I never know how to approach it correctly.. Does anyone have some tips? I already practiced a lot of similar problems, but it's seems that I am still not improving.

\(2^x - 2^{x-2}=3*2^{13}\), what is the value of x?

A 9 B 11 C 13 D 15 E 17

\(2^x - 2^{x-2}=3*2^{13}\) can be written as.. \(2^x - 2^x/2^2=3*2^{13}\).. \(2^x(1-1/4)=3*2^{13}\). \(3* 2^{x-2}=3*2^13\).... or x-2=13.. x=15 ans D
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Re: If 2^x-2^(x-2)=3*2^13 what is the value of x? [#permalink]

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14 Jan 2017, 11:08

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Re: If 2^x-2^(x-2)=3*2^13 what is the value of x? [#permalink]

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25 Aug 2017, 22:14

Another way to solve this is for example try doing 2^X-2^X-1 = 3(2^3) you will get answer as x=5, so similarly in the above question it should be 13+2 = 15
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Regards, Naveen email: nkmungila@gmail.com Please press kudos if you like this post

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