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)


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

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