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02 Jul 2021, 08:45
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B
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66% (01:47) correct
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If \(x = 2^b - (8^8 + 8^6)\), for which of the following b values is x closest to zero?
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
02 Jul 2021, 08:59
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Asked: If \(x = 2^b - (8^8 + 8^6)\), for which of the following b values is x closest to zero?
\(x = 2^b - 8^6(8^2 + 1) ~ 2^b - 2^18*2^6 ~ 2^b - 2^24\)
For b=24, x is closest to 0.
IMO B
\(x = 2^b - 8^6(8^2 + 1) ~ 2^b - 2^18*2^6 ~ 2^b - 2^24\)
For b=24, x is closest to 0.
IMO B
02 Jul 2021, 14:46
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Bunuel
If \(x = 2^b - (8^8 + 8^6)\), for which of the following b values is x closest to zero?
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
(A) 20
(B) 24
(C) 25
(D) 30
(E) 42
\(x = 2^b - (8^8 + 8^6)\)
\(x = 2^b - 8^6(8^2 + 1)\)
\(x = 2^b - 2^{3*6}(65)\)
\(x = 2^b - 2^{18}(65)\)
\(x = 2^b - 2^{18}* 2^6\) (As, 65 ~ 2^6 + 1)
\(x = 2^b - 2^{24}\)
So, (B) IMO!
