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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Which of the following is the largest?
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09 Jul 2021, 07:45
09 Jul 2021, 07:45
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66% (00:42) wrong based on 6 sessions
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Which of the following is the largest?
(A) \(2^{27.3}\)
(B) \(3^{18.2}\)
(C) \(5^{11.1}\)
(D)\(7^{9.1}\)
(E)\(11^{5.1}\)
(A) \(2^{27.3}\)
(B) \(3^{18.2}\)
(C) \(5^{11.1}\)
(D)\(7^{9.1}\)
(E)\(11^{5.1}\)
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Which of the following is the largest?
[#permalink]
10 Jul 2021, 23:14
10 Jul 2021, 23:14
2
GeminiHeat wrote:
Which of the following is the largest?
(A) \(2^{27.3}\)
(B) \(3^{18.2}\)
(C) \(5^{11.1}\)
(D)\(7^{9.1}\)
(E)\(11^{5.1}\)
(A) \(2^{27.3}\)
(B) \(3^{18.2}\)
(C) \(5^{11.1}\)
(D)\(7^{9.1}\)
(E)\(11^{5.1}\)
\(2^{27.3} = 2^{2.73(10)}\)
\(2.73 ≈ 3\)
i.e. \(2^{3(10)} = 8^{10}\)
\(3^{18.2} = 3^{1.82(10)}\)
\(1.82 ≈ 2\)
i.e. \(3^{2(10)} = 9^{10}\)
\(5^{11.1} = 5^{1.11(10)}\)
\(1.11 ≈ 1\)
i.e. \(5^{1(10)} = 5^{10}\)
\(7^{9.1} = 7^{0.91(10)}\)
\(0.91 ≈ 1\)
i.e. \(7^{1(10)} = 7^{10}\)
\(11^{5.1} = 11^{0.51(10)}\)
\(0.51 ≈ 0.5\)
i.e. \(11^{0.5(10)} = \sqrt{11}^{10}\)
Hence, option B
gmatclubot
Which of the following is the largest? [#permalink]
10 Jul 2021, 23:14
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