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2^12=8^x
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05 Apr 2021, 07:27
05 Apr 2021, 07:27
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\(2^{12}=8^x\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
3 |
x |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: 2^12=8^x
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05 Apr 2021, 07:51
05 Apr 2021, 07:51
1
Carcass wrote:
\(2^{12}=8^x\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Quantity A |
Quantity B |
3 |
x |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
We will start by rewriting the equation with equivalent bases:
Given: \(2^{12}=8^x\)
Rewrite \(8\) as \(2^3\) to get: \(2^{12}=(2^3)^x\)
Apply the power of a power law to get: \(2^{12}=2^{3x}\)
Now that the bases are equivalent, we can conclude: \(12 = 3x\), which means \(x = 4\). So we have:
QUANTITY A: 3
QUANTITY B: 4
Answer: B
