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What is the value of x?

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Joined: 24 May 2014
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Kudos [?]: 21 [0], given: 6

What is the value of x? [#permalink] New post 26 Jul 2014, 09:03
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (02:13) correct 42% (00:56) wrong based on 25 sessions
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, 09:13, edited 1 time in total.
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Kudos [?]: 32735 [0], given: 3556

What is the value of x? [#permalink] New post 26 Jul 2014, 09:16
Expert's post
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.

Answer: E.
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What is the value of x?   [#permalink] 26 Jul 2014, 09:16
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