Question

(c) If a=b^x, b = c^y and c = a^z, then prove that xyz = 1.
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Answer 1

Answer:

a=b^x, b = c^y and c = a^z  ....given

a=(c^y)^x ......(∵b = c^y)

=c^xy  

a=(a^z)^xy ......(∵c = a^z )

a^1=a^xyz

∴ xyz = 1  (∵base is the same)