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Re: The equation n < 1/{(-2)^{-n < 135.43 is true for how many [#permalink]
Can you please share a more elaborate explanation for this one? Why are we assuming that n has to be even?
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The equation n < 1/{(-2)^{-n < 135.43 is true for how many [#permalink]
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here the logic is that, according to the rules of exponents, we can write the stem in the following way

\(n < (-2)^{n} < 135.43\)

Now

we do know that n is prime and we have ONLY one prime even and all the others infinite prime are odd. The prime numbers are only positive

To have -2^n between n and 135.43 n must be 2- If we use 3 then we do have that

\(3<-8<135.43\) which han NO SENSE

If we use 2 we have

\(2<4<135.43\)

Therefore, n can have ONLY one possible value: the 2

I hope now is clear
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The equation n < 1/{(-2)^{-n < 135.43 is true for how many [#permalink]
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