If a^x = b, b^y = c, c^z = a, then value of xyz is:

Logarithms Practice Test 2

Question : 9 of 39

Marks: +1, -0

a^x = b

b^y = c

c^z = a

, then value of

x y z

is:

Solution:

a=c^z=(b^y)^z=b^{yz}=(a^x)^{yz}

=a^{ayz}

⇒xyz=1

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