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If a^x = b, b^y = c and c^z = a, then the value of xyz is = ?

10
21
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Answer:- 1

Explanation:-

Solution:

\begin{aligned} a^{1} \\ = c^{z} \\ = {(b^{y})}^{z} \\ = b^{y z} \\ = {(a^{x})}^{y z} \\ = a^{x y z} \\ \Rightarrow x y z = 1 \end{aligned}

$\eqalign{ & {a^1} \cr & = {c^z} \cr & = {\left( {{b^y}} \right)^z} \cr & = {b^{yz}} \cr & = {\left( {{a^x}} \right)^{yz}} \cr & = {a^{xyz}} \cr & \Rightarrow xyz = 1 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} a^{1} \\ = c^{z} \\ = {(b^{y})}^{z} \\ = b^{y z} \\ = {(a^{x})}^{y z} \\ = a^{x y z} \\ \Rightarrow x y z = 1 \end{aligned}

$\eqalign{ & {a^1} \cr & = {c^z} \cr & = {\left( {{b^y}} \right)^z} \cr & = {b^{yz}} \cr & = {\left( {{a^x}} \right)^{yz}} \cr & = {a^{xyz}} \cr & \Rightarrow xyz = 1 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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