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If a, b, and c are not equal to 0 or 1 and if
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07 Apr 2019, 08:18
07 Apr 2019, 08:18
Expert Reply
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Question Stats:
72% (01:14) correct
27% (01:50) wrong based on 29 sessions
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If \(a\), \(b\), and \(c\) are not equal to 0 or 1 and if \(a^x=b\) , \(b^y=c\) , and \(c^z = a\) , then \(xyz=\)
(A) 0
(B) 1
(C) 2
(D) a
(E) abc
(A) 0
(B) 1
(C) 2
(D) a
(E) abc
Re: If a, b, and c are not equal to 0 or 1 and if
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07 Apr 2019, 21:50
07 Apr 2019, 21:50
can someone please help me with the solution??
Re: If a, b, and c are not equal to 0 or 1 and if
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08 Apr 2019, 03:25
08 Apr 2019, 03:25
Expert Reply
\(a^x= b\)
\(b^y=c\)
\(c^z=a\)
Substitute
\((a^x)^y=c\)
Now, \(c^z=a\)
So
\((((c^z)^x)^y)= c\)
\(c^{xyz} = c^1\)
\(xyz=1\)
B is the answer
\(b^y=c\)
\(c^z=a\)
Substitute
\((a^x)^y=c\)
Now, \(c^z=a\)
So
\((((c^z)^x)^y)= c\)
\(c^{xyz} = c^1\)
\(xyz=1\)
B is the answer
