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(2^x)(2^k ) = 4 and (9^x)(3^k ) = 81
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08 Oct 2023, 23:53
08 Oct 2023, 23:53
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Question Stats:
66% (01:24) correct
33% (01:17) wrong based on 9 sessions
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\((2^x)(2^k ) = 4 and (9^x)(3^k ) = 81\)
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.
Quantity A |
Quantity B |
x |
k |
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.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: (2^x)(2^k ) = 4 and (9^x)(3^k ) = 81
[#permalink]
09 Oct 2023, 10:39
09 Oct 2023, 10:39
1
From the stem we can draw the following equations:
\(2^{x+k}=2^2\)
\(x+k=2\)
and
\(3^{2x+k}=3^4\)
\(2x+k=4\)
Giving us:
\(2x+k=4\)
\(x+k=2\)
Subtracting the top equation from the bottom equation, we find that x=2 and accordingly k=0.
x>k, QA>QB.
A.
\(2^{x+k}=2^2\)
\(x+k=2\)
and
\(3^{2x+k}=3^4\)
\(2x+k=4\)
Giving us:
\(2x+k=4\)
\(x+k=2\)
Subtracting the top equation from the bottom equation, we find that x=2 and accordingly k=0.
x>k, QA>QB.
A.
gmatclubot
Re: (2^x)(2^k ) = 4 and (9^x)(3^k ) = 81 [#permalink]
09 Oct 2023, 10:39
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