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3^x*3^y=243

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3^x*3^y=243 [#permalink] New post   21 Mar 2023, 01:37
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Question Stats:

84% (01:43) correct 15% (01:09) wrong based on 13 sessions

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\(3^x*3^y=243\) and \(8^3*2^y=128\)


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.
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Re: 3^x*3^y=243 [#permalink] New post   15 Apr 2023, 02:30
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\(243=3^5\)

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
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Re: 3^x*3^y=243 [#permalink]
15 Apr 2023, 02:30
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