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If x is an integer, what is the minimum value of

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If x is an integer, what is the minimum value of [#permalink] New post   30 May 2024, 23:55
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If x is an integer, what is the minimum value of \(3^x+3^{-x}\) ?


A. 0
B. 1
C. 2
D. 3
E. 4


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C
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Re: If x is an integer, what is the minimum value of [#permalink] New post   31 May 2024, 01:40
This question was in my actual GRE - where did you find this?
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Re: If x is an integer, what is the minimum value of [#permalink] New post   31 May 2024, 02:32
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Are you sure the EXACT question and not similar ?

Bacause the source is from Jamboree. I do not think is the same

:dontknow:
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If x is an integer, what is the minimum value of [#permalink] New post   31 May 2024, 02:39
It's exact. I took the GRE in November 2020 and this was a level 5 (if I recall correctly) question in algebra in my second section. Only the options are different and I don't think the "x is an integer" part existed (which doesn't matter here). Crucially, the expression is exact.
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Re: If x is an integer, what is the minimum value of [#permalink] New post   02 Aug 2024, 00:00
Cannot get a clear picture of the question asked. Because the least answer should be one if x is an integer.
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Re: If x is an integer, what is the minimum value of [#permalink] New post   02 Aug 2024, 00:36
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What do you mean of clear picture sir ?

and why should be 1?
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Re: If x is an integer, what is the minimum value of [#permalink] New post   08 Oct 2024, 03:51
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\(3^x+\frac{1}{3^x}\)


when we have the form x/y and y/x the expression is always = or >2

We are looking for the minimum value which cannot be >2

Therefore x=0

\(3^0+\frac{1}{3^0}=1+1=2\)

C is the answer
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Re: If x is an integer, what is the minimum value of [#permalink]
08 Oct 2024, 03:51
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