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If 2^4x = 3,600, what is the value of (2^1-x)^2 ?
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10 Jul 2020, 08:03
10 Jul 2020, 08:03
Expert Reply
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Question Stats:
66% (03:03) correct
33% (01:24) wrong based on 30 sessions
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If \(2^{4x} = 3,600\), what is the value of \((2^{(1-x)})^2\) ?
(A) -1/15
(B) 1/15
(C) 3/10
(D) -3/10
(E) 1
(A) -1/15
(B) 1/15
(C) 3/10
(D) -3/10
(E) 1
Re: If [m]2^{4x} = 3,600[/m], what is the value of
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10 Jul 2020, 08:04
10 Jul 2020, 08:04
Expert Reply
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Re: If 2^4x = 3,600, what is the value of (2^1-x)^2 ?
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10 Jul 2020, 09:37
10 Jul 2020, 09:37
1
(2^(1-x))^2 = 2^(2-2x) = 2^2/2^2x
sqrt(2^4x) = 2^2x = sqrt(3600) = 60
so 2^2/2^2x = 4/60 = [color=#0000ff]1/15[/color]
sqrt(2^4x) = 2^2x = sqrt(3600) = 60
so 2^2/2^2x = 4/60 = [color=#0000ff]1/15[/color]
