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a, b and c are three positive integers and
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26 Aug 2024, 01:21
26 Aug 2024, 01:21
Expert Reply
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Question Stats:
50% (01:08) correct
50% (01:21) wrong based on 8 sessions
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a, b and c are three positive integers and \(2^a=2^b+2^c \). Which of the following options must be true?
Indicate all that apply
A. a = b + c
B. a > b
C. a < b + c, without a = 2
D. \(b \neq c\)
Indicate all that apply
A. a = b + c
B. a > b
C. a < b + c, without a = 2
D. \(b \neq c\)
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Re: a, b and c are three positive integers and
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04 Sep 2024, 09:03
04 Sep 2024, 09:03
How is C correct? and why is option A wrong?
Re: a, b and c are three positive integers and
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04 Sep 2024, 10:32
04 Sep 2024, 10:32
Expert Reply
This is a must be true question, first off.
Now
You do have the equality where \(2^a=2^b+2^c \) and this to be true a must be > of b and c
For example , a=2 and b=c=1
\(2^2=2^1+2^1\) or \(2^3=2^2+2^2\) and so forth
1) a=b+c is not true
2) a>b yes always
3) yes always true but when we do have the 2
a=3 and b=c=4
4) not always. in the second example b=c
B and C are the correct answers
I hope this helps out
Now
You do have the equality where \(2^a=2^b+2^c \) and this to be true a must be > of b and c
For example , a=2 and b=c=1
\(2^2=2^1+2^1\) or \(2^3=2^2+2^2\) and so forth
1) a=b+c is not true
2) a>b yes always
3) yes always true but when we do have the 2
a=3 and b=c=4
4) not always. in the second example b=c
B and C are the correct answers
I hope this helps out
