Question
If ax = b, by = c and cz = a, then the value of xyz is = ?
Answer: Option B
$$\eqalign{
& {a^1} \cr
& = {c^z} \cr
& = {\left( {{b^y}} \right)^z} \cr
& = {b^{yz}} \cr
& = {\left( {{a^x}} \right)^{yz}} \cr
& = {a^{xyz}} \cr
& \Rightarrow xyz = 1 \cr} $$
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$$\eqalign{
& {a^1} \cr
& = {c^z} \cr
& = {\left( {{b^y}} \right)^z} \cr
& = {b^{yz}} \cr
& = {\left( {{a^x}} \right)^{yz}} \cr
& = {a^{xyz}} \cr
& \Rightarrow xyz = 1 \cr} $$
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