If \(Log⁡(P)=(1/2)Log⁡(Q)=(1/3)Log⁡(R)\), then which of the following options…

GATE · 2011 · CS · General Aptitude

If Log⁡(P)=(1/2)Log⁡(Q)=(1/3)Log⁡(R)Log⁡(P)=(1/2)Log⁡(Q)=(1/3)Log⁡(R), then which of the following options is TRUE?

  1. A.

    P2=Q3R2\text{P}^2 = \text{Q}^3\text{R}^2

  2. B.

    Q2=PR\text{Q}^2=\text{P}\text{R}

  3. C.

    Q2=R3P\text{Q}^2 = \text{R}^3\text{P}

  4. D.

    R=P2Q2\text{R}=\text{P}^2\text{Q}^2

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