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If n is an integer and 5^n > 4,000,000, what is the least possible val
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24 Jan 2022, 06:10
24 Jan 2022, 06:10
Expert Reply
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Question Stats:
41% (01:34) correct
58% (02:15) wrong based on 24 sessions
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If n is an integer and \(5^n > 4,000,000\), what is the least possible value of n?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
If n is an integer and 5^n > 4,000,000, what is the least possible val
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24 Jan 2022, 19:45
24 Jan 2022, 19:45
2
\(5^n > 4,000,000\)
By using the calculator given on the test, we can determine the smallest value of \(n = 10\)
Answer D
By using the calculator given on the test, we can determine the smallest value of \(n = 10\)
Answer D
Re: If n is an integer and 5^n > 4,000,000, what is the least possible val
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12 Jun 2024, 06:02
12 Jun 2024, 06:02
2
4 000 000 = 4*100*100*100 = 2^8 * 5^6
2^8 = 256, so in order to be larger than that, 5 needs to taken to the power of 4: 5^4 = 625
5^6 * 5^4 = 5^10
2^8 = 256, so in order to be larger than that, 5 needs to taken to the power of 4: 5^4 = 625
5^6 * 5^4 = 5^10
