logk(an/bn) + logk(bn/cn) + logk(cn/an) = ?
Solution
Correct Answer: Option D
logk(an/bn) + logk(bn/cn) + logk(cn/an)
=> logk (a/b)^n + logk (b/c)^n + logk (c/a)^n
=> n logk a/b + n logk b/c + n logk c/a
=> n ( logk a/b + logk b/c + logk c/a)
=> n { logk (a/b×b/c×c/a)}
=> n logk 1
=> n×0 [ logk 1 = o ]
=> 0
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