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# 2^x*4^(2x)=8^y. Which of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 52392
2^x*4^(2x)=8^y. Which of the following must be true?  [#permalink]

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22 Feb 2017, 02:40
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:55) correct 11% (00:47) wrong based on 40 sessions

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$$2^x*4^{(2x)}=8^y$$. Which of the following must be true?

A. 3x=y

B. x=3y

C. y=3/5*x

D. x=3/5*y

E. 2x^2=y

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Joined: 05 Apr 2014
Posts: 140
Location: India
Concentration: Economics, International Business
Schools: ISB '19, Fox"19
GMAT 1: 660 Q48 V33
GPA: 3
Re: 2^x*4^(2x)=8^y. Which of the following must be true?  [#permalink]

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22 Feb 2017, 03:52
D
2^x * 2^4x = 2^3y
Gives 5x= 3y

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Manager
Joined: 13 Apr 2010
Posts: 89
Re: 2^x*4^(2x)=8^y. Which of the following must be true?  [#permalink]

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22 Feb 2017, 04:13
Bunuel wrote:
$$2^x*4^{(2x)}=8^y$$. Which of the following must be true?

A. 3x=y

B. x=3y

C. y=3/5*x

D. x=3/5*y

E. 2x^2=y

$$2^x . 2^{(4x)} = 2^{(3y)}$$
$$2^{(5x)} = 2^{(3y)}$$
5x = 3y
x = 3/5. y

Answer is D .
Re: 2^x*4^(2x)=8^y. Which of the following must be true? &nbs [#permalink] 22 Feb 2017, 04:13
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# 2^x*4^(2x)=8^y. Which of the following must be true?

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