Discussion
If \(a^x = b, b^y = c\) and \(c^z = a\), then the value of \(xyz\) is:
Answer: A
Substitute each equation into the next.
\[ c = b^{y} = (a^{x})^{y} = a^{xy} \]
\[ a = c^{z} = (a^{xy})^{z} = a^{xyz} \]
Comparing exponents on the same base:
\[ xyz = 1 \]
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