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If m = 3^(n−1), what is the value of m/n?

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Bunuel
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If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   14 May 2017, 11:41
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If \(m = 3^{(n−1)}\), what is the value of \(\frac{m}{n}\)?

(1) \(3^{(4n−1)} = 27\)

(2) \(m = 3^{(3n-3)}\)
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D
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utkarshthapak
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Re: If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   15 May 2017, 01:41
Will the answer be D?
Statement 1: 3^(4n-1) = 27 so 3^(4n-1) = 3^3; (4n-1)=3; n=1 so m = 1 from main question which gives m/n = 1.
Statement 2: m=3^(3n+1); also m = 3^(n-1); 3^(3n+1) = 3^(n-1); (3n+1)=(n-1); n = -1; m= 1/9; m/n = 1/9.
Please correct if I am wrong.
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Re: If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   15 May 2017, 02:20
Statement 1:
Solve to find the value of n
Put this value of n in equation for m to solve for m
So now you the value for both m and m. Hence, you can find the value of m/n

Statement 2:
Equate the values of m from equation provided in stem and statement 2 to solve for n. Put this value of n in equation of m from stem to solve for m. Hence, now you have values for both m and n.

Both the statements are sufficient on their own to find the value of m/n
Hence, D
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Re: If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   15 May 2017, 02:43
i am getting n = +1 from statement 1 and n = -1 from statement 2..:(
i am sure answer is D i dont know where i am doing mistake
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Re: If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   15 May 2017, 07:58
The answer must be A because statement 1 tells that n is positive where as the value of m is totally dependent on n (either negative or positive). So we know that n is +1 and we can find the answer of m/n
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Re: If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   08 Nov 2017, 13:12
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Hi Bunuel,

Both the statements are contradicting.

Statement 1: 3^(4n-1) = 27 so 3^(4n-1) = 3^3; (4n-1)=3; n=1 so m = 1 from main question which gives m/n = 1.
Statement 2: m=3^(3n+1); also m = 3^(n-1); 3^(3n+1) = 3^(n-1); (3n+1)=(n-1); n = -1; m= 1/9; m/n = 1/9.

both the statements yielding different values of m/n
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Re: If m = 3^(n−1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   08 Nov 2017, 21:46
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hellosanthosh2k2 wrote:
Hi Bunuel,

Both the statements are contradicting.

Statement 1: 3^(4n-1) = 27 so 3^(4n-1) = 3^3; (4n-1)=3; n=1 so m = 1 from main question which gives m/n = 1.
Statement 2: m=3^(3n+1); also m = 3^(n-1); 3^(3n+1) = 3^(n-1); (3n+1)=(n-1); n = -1; m= 1/9; m/n = 1/9.

both the statements yielding different values of m/n


Yes, you are right. Edited the second statement. Thank you.
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Re: If m = 3^(n1), what is the value of m/n? [#permalink] If m = 3^(n−1), what is the value of m/n?   24 Oct 2023, 20:53
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