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If √√√(3x) = 4√(2x), what is the greatest possible value of

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If √√√(3x) = 4√(2x), what is the greatest possible value of [#permalink] New post 21 Nov 2017, 00:55
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If \(\sqrt{\sqrt{\sqrt{3x}}} = \sqrt[4]{2x}\), what is the greatest possible value of x?


[Reveal] Spoiler: OA
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Re: If √√√(3x) = 4√(2x), what is the greatest possible value of [#permalink] New post 24 Nov 2017, 22:41
2/9 ?
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Re: If √√√(3x) = 4√(2x), what is the greatest possible value of [#permalink] New post 25 Nov 2017, 01:15
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priteshsad wrote:
2/9 ?


Nope. The question comes down to (3x)^ 1/6 = (2x) ^ 1/4

so 3x = (2x) ^6/4 or (2x)^2
3x = 4x^2
x = 3/4
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Re: If √√√(3x) = 4√(2x), what is the greatest possible value of [#permalink] New post 07 Dec 2017, 20:40
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it stands for (3x)^ 1/8 = (2x) ^ 1/4 ,
so 3x=(2x)^1/2,
3x=4*x^2
x=3/4
Re: If √√√(3x) = 4√(2x), what is the greatest possible value of   [#permalink] 07 Dec 2017, 20:40
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If √√√(3x) = 4√(2x), what is the greatest possible value of

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