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GRE Math Challenge #5- Solve 8*8^n + 8^n = 36

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GRE Math Challenge #5- Solve 8*8^n + 8^n = 36 [#permalink] New post 31 Aug 2014, 22:30
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Question Stats:

80% (00:42) correct 20% (00:44) wrong based on 15 sessions
If \(8*8^n + 8^n\) = 36, then n =

A) 1/3
B) 1/2
C) 3/5
D) 2/3
E) 4/5
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #5- Solve 8*8^n + 8^n = 36 [#permalink] New post 06 Jun 2018, 13:08
soumya1989 wrote:
If \(8*8^n + 8^n\) = 36, then n =

A) 1/3
B) 1/2
C) 3/5
D) 2/3
E) 4/5


It's given that 8*\(8^n\) +\(8^n\) = 36
\(8^n\)(8+1) = 36
\(8^n\)=4
\(2^{3n}\)=\(2^2\)
3n=2
n= 2/3
Thus the Best nswer is D.
Re: GRE Math Challenge #5- Solve 8*8^n + 8^n = 36   [#permalink] 06 Jun 2018, 13:08
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GRE Math Challenge #5- Solve 8*8^n + 8^n = 36

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