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3^x*3^y=243
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21 Mar 2023, 01:37
21 Mar 2023, 01:37
Expert Reply
00:00
Question Stats:
82% (01:54) correct
17% (01:20) wrong based on 17 sessions
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\(3^x*3^y=243\) and \(8^3*2^y=128\)
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE EXPONENTS
Quantity A |
Quantity B |
x+y |
x-y |
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE EXPONENTS
Re: 3^x*3^y=243
[#permalink]
15 Apr 2023, 02:30
15 Apr 2023, 02:30
Expert Reply
\(243=3^5\)
So QA is \(3^x*3^y=3^5\)
So \(x+y=5\)
QB
\(2^9*2^y=2^7\)
\(y+9=7\)
\(y=-2\)
\(x-2=5=7\)
So in the end x=7 and y=-2
QA=5 and QB=9
B >A
So QA is \(3^x*3^y=3^5\)
So \(x+y=5\)
QB
\(2^9*2^y=2^7\)
\(y+9=7\)
\(y=-2\)
\(x-2=5=7\)
So in the end x=7 and y=-2
QA=5 and QB=9
B >A
gmatclubot
Re: 3^x*3^y=243 [#permalink]
15 Apr 2023, 02:30
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