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# If x and y are positive integers for which 2 x 3 y = 1296, what is th

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Senior Manager
Status: Manager
Joined: 02 Nov 2018
Posts: 280
If x and y are positive integers for which 2 x 3 y = 1296, what is th  [#permalink]

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18 Mar 2019, 02:53
1
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:40) correct 10% (02:35) wrong based on 31 sessions

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If x and y are positive integers for which $$2^x3^y$$= 1296, what is the value of x+y?

(A) 8

(B) 9

(C) 10

(D) 11

(E) 12
Manager
Joined: 21 Feb 2019
Posts: 125
Location: Italy
Re: If x and y are positive integers for which 2 x 3 y = 1296, what is th  [#permalink]

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18 Mar 2019, 02:59
1
$$1296 = 2^4 * 3^4$$

Hence, $$4 + 4 = 8$$
Re: If x and y are positive integers for which 2 x 3 y = 1296, what is th   [#permalink] 18 Mar 2019, 02:59
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