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What is the value of x?

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What is the value of x? [#permalink]

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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.
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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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New post 29 Mar 2017, 06:24
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Re: What is the value of x?   [#permalink] 29 Mar 2017, 06:24
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