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03 Nov 2022, 01:45
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:42) correct
33%
(01:52)
wrong
based on 358
sessions
History
Date
Time
Result
Not Attempted Yet
x is a positive integer
Which of the following x could ensure that \(10^x\) is closest to \(2^{20} \) ?
A. 4
B. 6
C. 8
D. 10
E. 12
Which of the following x could ensure that \(10^x\) is closest to \(2^{20} \) ?
A. 4
B. 6
C. 8
D. 10
E. 12
05 Nov 2022, 09:11
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Afroditee
Solution:
- We know \(2^{10}=1024\) ~ \(1000\)
- Thus, \(2^{20}=2^{10}\times 2^{10}\) ~ \(1000\times 1000=10^6\)
Hence the right answer is Option B
General Discussion
rajtare
Joined: 05 Nov 2014
Last visit: 18 Feb 2026
Posts: 183
Given Kudos: 12
Location: India
Concentration: Operations, Leadership
Schools: Sloan '26 Columbia CBS'26 Goizueta '26 Kellogg '26
GPA: 3.99
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03 Nov 2022, 01:55
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Afroditee
\(10\) ~ \(2^3\)
\(10^x\) ~ \(2^{3x}\)
\(2^{3x}\) = \(2^{20} \)
3x=20
or x~6
hence option B
