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For which of the following values of x is

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Carcass
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For which of the following values of x is [#permalink] New post   12 Sep 2020, 09:55
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For which of the following values of x is \(\frac{4^x}{x^4}\) an integer ?

Indicate all such values

A. 2

B. 3

C. 4

D. 5

E. 6

F. 7

G. 8
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A,C,G
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Pranaygre
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Re: For which of the following values of x is [#permalink] New post   15 Sep 2020, 20:27
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this question is direct substitution of options in given expression

by substituting 2,4,8 will be integers

so A,C,G are correct
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Re: For which of the following values of x is [#permalink] New post   15 Aug 2022, 08:43
I can identify that 2^(2x) ≥ x^4 but I am wayyy slow to test all the options... I wish there was a faster way to do so...
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Re: For which of the following values of x is [#permalink] New post   15 Aug 2022, 10:52
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BrDickinson wrote:
I can identify that 2^(2x) ≥ x^4 but I am wayyy slow to test all the options... I wish there was a faster way to do so...


\(\frac{2^{2x}}{x^4}\)

basically the stem tells us that for x to be an integer the number x must contain only 2 as a factor and stop

A, C, and G work

E no because 6 is 2*3 not just 2

Hope this helps
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BrDickinson
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Re: For which of the following values of x is [#permalink] New post   15 Aug 2022, 11:14
Carcass wrote:
BrDickinson wrote:
I can identify that 2^(2x) ≥ x^4 but I am wayyy slow to test all the options... I wish there was a faster way to do so...


\(\frac{2^{2x}}{x^4}\)

basically the stem tells us that for x to be an integer the number x must contain only 2 as a factor and stop

A, C, and G work

E no because 6 is 2*3 not just 2

Hope this helps


Definitely helps! Thank you!
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gmatclubot
Re: For which of the following values of x is [#permalink]
15 Aug 2022, 11:14
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