GATE | GATE CS 2011 | Question 65

If Log(P) = (1/2)Log(Q) = (1/3)Log(R), then which of the following options is TRUE?
(A) P² = Q³R²
(B) Q² = PR
(C) Q² = R³P²
(D) R = P²Q²


Answer: (B)

Explanation:

It is given that Log(P) = (1/2)Log(Q) = (1/3)Log(R)

Let Log(P) = (1/2)Log(Q) = (1/3)Log(R) = C

Let the base of log be B

P = BC
Q = B2C
R = B3C

Which means Q2 = PR

Quiz of this Question

Attention reader! Don’t stop learning now.  Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course.

Learn all GATE CS concepts with Free Live Classes on our youtube channel.