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If √√√(3x) = 4√(2x), what is the greatest possible value of
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21 Nov 2017, 00:55
21 Nov 2017, 00:55
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Question Stats:
100% (00:44) correct
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If \(\sqrt{\sqrt{\sqrt{3x}}} = \sqrt[4]{2x}\), what is the greatest possible value of x?
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Re: If √√√(3x) = 4√(2x), what is the greatest possible value of
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24 Nov 2017, 22:41
24 Nov 2017, 22:41
2/9 ?
Re: If √√√(3x) = 4√(2x), what is the greatest possible value of
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25 Nov 2017, 01:15
25 Nov 2017, 01:15
3
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
Re: If √√√(3x) = 4√(2x), what is the greatest possible value of
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07 Dec 2017, 20:40
07 Dec 2017, 20:40
2
it stands for (3x)^ 1/8 = (2x) ^ 1/4 ,
so 3x=(2x)^1/2,
3x=4*x^2
x=3/4
so 3x=(2x)^1/2,
3x=4*x^2
x=3/4
Re: If √√√(3x) = 4√(2x), what is the greatest possible value of
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17 Oct 2021, 07:18
17 Oct 2021, 07:18
could someone explain in more detail?
If √√√(3x) = 4√(2x), what is the greatest possible value of
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17 Oct 2021, 07:48
17 Oct 2021, 07:48
2
\(3x^{\frac{1}{8}}= 2x^{\frac{1}{4}}\)
When both sides are raised to the fourth power
\(\sqrt{3x} = 2x\)
Squaring both the sides
\(3x = 4x^2\)
\(4x^2 - 3x = 0\)
\(x(x - \frac{3}{4}) = 0\)
\(x = 0 / \frac{3}{4}\)
Greatest possible value \(= \frac{3}{4}\)
_________________
When both sides are raised to the fourth power
\(\sqrt{3x} = 2x\)
Squaring both the sides
\(3x = 4x^2\)
\(4x^2 - 3x = 0\)
\(x(x - \frac{3}{4}) = 0\)
\(x = 0 / \frac{3}{4}\)
Greatest possible value \(= \frac{3}{4}\)
Samamammadova8888 wrote:
could someone explain in more detail?
_________________
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Re: If √√√(3x) = 4√(2x), what is the greatest possible value of
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22 Oct 2021, 08:00
22 Oct 2021, 08:00
Thanks for the explanation!
gmatclubot
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