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What is the value of integer x ?

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Bunuel
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What is the value of integer x ? [#permalink] New post   26 May 2022, 01:30
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What is the value of integer x ?

(1) \(x(x + 3) = 10\)

(2) \((2x)^{{2x}} = 256\)




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Re: What is the value of integer x ? [#permalink] New post   26 May 2022, 04:28
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Condition (2), as written, means 2*x^(2x)=256, right?
It should be (2x)^(2x)=256
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Re: What is the value of integer x ? [#permalink] New post   26 May 2022, 06:38
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zhanbo wrote:
Condition (2), as written, means 2*x^(2x)=256, right?
It should be (2x)^(2x)=256


Right. Edited. Thank you for noticing this!
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Re: What is the value of integer x ? [#permalink] New post   26 May 2022, 22:33
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Bunuel wrote:
What is the value of integer x ?

(1) \(x(x + 3) = 10\)

(2) \((2x)^{{2x}} = 256\)




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Answer is B. Statement 1 is insufficient as the roots of the quadratics when solved gives two different integer values. However for statement 2, data is sufficient since 4^4 is the only value which provides 256, thus 2x=4, x =2
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Re: What is the value of integer x ? [#permalink]
26 May 2022, 22:33
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