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Difficulty:
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Question Stats:
70% (01:50) correct
30%
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If x is a positive integer, and \(m=3^{(x+1)}\), what is \(9^{2x}\) in terms of m?
(A) \(\frac{m^2}{9}\)
(B) \(\frac{m^2}{81}\)
(C) \(\frac{m^3}{9}\)
(D) \(\frac{m^4}{3}\)
(E) \(\frac{m^4}{81}\)
(A) \(\frac{m^2}{9}\)
(B) \(\frac{m^2}{81}\)
(C) \(\frac{m^3}{9}\)
(D) \(\frac{m^4}{3}\)
(E) \(\frac{m^4}{81}\)
04 Dec 2023, 06:17
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Hi Bunuel, is the answer "D"?
Given that m=3^(x+1),
we need to find 9^2x in terms of m.
9^2x = 3^(2*2x)
=3^4x
which means we need to raise m by 4 powers and divide it by 3 to bring it in terms of m
Therefore, m=(3^4)/3
Given that m=3^(x+1),
we need to find 9^2x in terms of m.
9^2x = 3^(2*2x)
=3^4x
which means we need to raise m by 4 powers and divide it by 3 to bring it in terms of m
Therefore, m=(3^4)/3
