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4^n=256
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13 Oct 2021, 07:15
13 Oct 2021, 07:15
Expert Reply
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Question Stats:
80% (00:56) correct
20% (01:14) wrong based on 20 sessions
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\(4^n=256\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(3^n\) |
\(\frac{3}{2} n^3\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: 4^n=256
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13 Oct 2021, 08:46
13 Oct 2021, 08:46
1
Carcass wrote:
\(4^n=256\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(3^n\) |
\(\frac{3}{2} n^3\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Given: \(4^n=256\)
Since \(4^4=256\), we know that \(n = 4\)
Plug this n-value into each quantity to get:
QUANTITY A: \(3^n = 3^4 = 81\)
QUANTITY B: \(\frac{3}{2} n^3 = (\frac{3}{2})(4^3) = (\frac{3}{2})(64) =96 \)
Answer: B
gmatclubot
Re: 4^n=256 [#permalink]
13 Oct 2021, 08:46
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