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# If (3^x)(2^x) = 6^y, which of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 47161
If (3^x)(2^x) = 6^y, which of the following must be true?  [#permalink]

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12 Apr 2018, 21:33
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79% (00:24) correct 21% (00:22) wrong based on 53 sessions

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If $$(3^x)(2^x) = 6^y$$, which of the following must be true?

A. x = 2y

B. 2x = y

C. x = y^2

D. x^2 = y

E. x = y

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Senior Manager
Joined: 31 May 2017
Posts: 286
Re: If (3^x)(2^x) = 6^y, which of the following must be true?  [#permalink]

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12 Apr 2018, 21:47
(3^x) (2^x) = 6^y

Lets try by substituting values. (3^1)(2^1) = 6 which is equal to 6^1.
Similarly (3^2) (2^2) = (6^2)

X = Y

Ans: E
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Senior Manager
Joined: 31 Oct 2013
Posts: 376
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If (3^x)(2^x) = 6^y, which of the following must be true?  [#permalink]

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12 Apr 2018, 23:41
Bunuel wrote:
If $$(3^x)(2^x) = 6^y$$, which of the following must be true?

A. x = 2y

B. 2x = y

C. x = y^2

D. x^2 = y

E. x = y

(3^x) (2^x) = 6^y
(3^x) (2^x)= (3^y)(2^y)
x.x-y.y
x=y
Thus option E is the correct answer.
Re: If (3^x)(2^x) = 6^y, which of the following must be true? &nbs [#permalink] 12 Apr 2018, 23:41
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# If (3^x)(2^x) = 6^y, which of the following must be true?

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