If x = logb a, y = logc b, z = loga c, then xyz is(a) 0 (b) 1 (c) ab – InterviewSolution

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If x = logb a, y = logc b, z = loga c, then xyz is(a) 0 (b) 1 (c) abc (d) a + b + c

Answer»

(b) 1

Hint. x = log_ba ⇒ x = \(\frac{log_e\,a}{log_e\,b}\), y = log_c b ⇒ y = \(\frac{log_e\,b}{log_e\,c}\),

z = log_ac ⇒ z = \(\frac{log_e\,c}{log_e\,a}\).

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