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26 Aug 2018, 06:31
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:29) correct
22%
(02:02)
wrong
based on 215
sessions
History
Date
Time
Result
Not Attempted Yet
If \(5^{k + 1} = 2,000\), what is the value of \(5^k + 1\)?
(A) 399
(B) 401
(C) 1,996
(D) 2,000
(E) 2,001
(A) 399
(B) 401
(C) 1,996
(D) 2,000
(E) 2,001
26 Aug 2018, 06:36
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Bookmarks
B?
\(5^k\).5 = \(2^4\).\(5^3\)
\(5^k\)= \(2^4\).\(5^2\) = 16 * 25 = 400
\(5^k\) + 1 = 400 + 1 = 401
\(5^k\).5 = \(2^4\).\(5^3\)
\(5^k\)= \(2^4\).\(5^2\) = 16 * 25 = 400
\(5^k\) + 1 = 400 + 1 = 401
26 Aug 2018, 07:48
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Bunuel
\(5^k*5 = 2^4*5^3\)
So, \(5^k = 2^4*5^2\)
Or, \(5^k = 400\)
So, \(5^k + 1 = 401\) , Answer must be (B)
