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# What is the value of x?

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Intern
Joined: 24 May 2014
Posts: 13
Location: Brazil
Followers: 0

Kudos [?]: 55 [0], given: 6

What is the value of x? [#permalink]

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26 Jul 2014, 10:03
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Difficulty:

45% (medium)

Question Stats:

58% (02:08) correct 42% (00:51) wrong based on 37 sessions

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What is the value of x?

(1) 4^x * 2^y = 8

(2) 81^x * 9^y = 3^6
[Reveal] Spoiler: OA

Last edited by Bunuel on 26 Jul 2014, 10:13, edited 1 time in total.
Edited the question
Math Expert
Joined: 02 Sep 2009
Posts: 34511
Followers: 6304

Kudos [?]: 79986 [0], given: 10022

What is the value of x? [#permalink]

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26 Jul 2014, 10:16
What is the value of x?

(1) 4^x * 2^y = 8 --> $$2^{2x}*2^y=2^3$$ --> $$2^{2x+y}=2^3$$ --> $$2x+y=3$$. Not sufficient.

(2) 81^x * 9^y = 3^6 --> $$3^{4x}*3^{2y}=3^6$$ --> $$3^{4x+2y}=3^6$$ --> $$4x+2y=6$$ --> $$2x+y=3$$. Not sufficient.

(1)+(2) We have the smae bit of information from both statements: $$2x+y=3$$. Not sufficient.

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What is the value of x?   [#permalink] 26 Jul 2014, 10:16
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