Suppose, log(base3)x = log(base12)y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log(base6)G is equal to

A) âˆša

B) 2a

C) a/2

D) a

Option (D)

As per CAT 2017 – Quantitative Aptitude – Algebra – Logarithms, we can see that

x=3^a and y=12^a

G = âˆš(3^a * 12^a) = 6^a

Log (base 6) 6^a = a

Option (D)

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