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Joined: 16 May 2014
Posts: 592
Given Kudos: 0
GRE 1: Q165 V161
GRE Math Challenge #5- Solve 8*8^n + 8^n = 36
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31 Aug 2014, 22:30
31 Aug 2014, 22:30
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Question Stats:
72% (00:43) correct
27% (01:05) wrong based on 29 sessions
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Re: GRE Math Challenge #5- Solve 8*8^n + 8^n = 36
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06 Jun 2018, 13:08
06 Jun 2018, 13:08
2
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
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
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29 May 2021, 01:56
29 May 2021, 01:56
1
8*8^n+8^n=36
8^n(8+1)=36
8^n(9)=36
8^n=4
2^3n=2^2
so from there,
3n=2
n=2/3
which is option D
8^n(8+1)=36
8^n(9)=36
8^n=4
2^3n=2^2
so from there,
3n=2
n=2/3
which is option D
