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The function f(x) is defined by f(x)=100−2^x. If f(x)=6, then which of
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12 Mar 2021, 10:13
12 Mar 2021, 10:13
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The function f(x) is defined by \(f(x)=100−2^x\). If f(x)=6, then which of the following is true about the value of x?
A. 0≤x≤4
B. 4<x≤8
C. 8<x≤16
D. 16<x≤32
E. 32<x≤64
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 0≤x≤4
B. 4<x≤8
C. 8<x≤16
D. 16<x≤32
E. 32<x≤64
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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Joined: 10 Apr 2015
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Re: The function f(x) is defined by f(x)=100−2^x. If f(x)=6, then which of
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12 Mar 2021, 10:32
12 Mar 2021, 10:32
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Carcass wrote:
The function f(x) is defined by \(f(x)=100−2^x\). If f(x)=6, then which of the following is true about the value of x?
A. 0≤x≤4
B. 4<x≤8
C. 8<x≤16
D. 16<x≤32
E. 32<x≤64
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 0≤x≤4
B. 4<x≤8
C. 8<x≤16
D. 16<x≤32
E. 32<x≤64
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
If f(x) = 6, then 100 - 2^x = 6
Rearrange to get: 2^x = 94
Observe:
2^6 = 64
2^7 = 128
Since 94 is BETWEEN 64 and 128, we can conclude that x is BETWEEN 6 and 7
Only answer choice B meets the criteria that x is BETWEEN 6 and 7
Answer: B
Cheers,
Brent
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Posts: 1115
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Location: India
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Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: The function f(x) is defined by f(x)=100−2^x. If f(x)=6, then which of
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07 Jan 2022, 08:07
07 Jan 2022, 08:07
Given that \(f(x)=100−2^x\) and f(x)=6 and we need to find the range of values of x
\(f(x)=100−2^x\) = 6 (given)
=> \(100−2^x = 6\)
=> \(2^x = 100 - 6\)
=> \(2^x = 94\)
Now, we know that \(2^6 = 64\) and \(2^7 = 128\)
=> x will be between 6 and 7
Only option in that range is 4<x≤8
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
\(f(x)=100−2^x\) = 6 (given)
=> \(100−2^x = 6\)
=> \(2^x = 100 - 6\)
=> \(2^x = 94\)
Now, we know that \(2^6 = 64\) and \(2^7 = 128\)
=> x will be between 6 and 7
Only option in that range is 4<x≤8
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
