**Quantitative Aptitude – Algebra – Logarithms**

**Question**

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) √a

B) 2a

C) a/2

D) a

**Answer**

Option (D)

**Solution**

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

x=3^a and y=12^a

G = √(3^a * 12^a) = 6^a

Log (base 6) 6^a = a

Option (D)

Logarithm Concepts Questions and Answers for CAT 2018 Quant Preparation

**Q1**: If log (2^a × 3^b × 5^c) is the arithmetic mean of log (2^2 × 3^3 × 5), log (2^6 × 3 × 5^7), and log(2 × 3^2 × 5^4), then a equals

Check answer of logarithm Q1

**Q2**: If x is a real number such that log(base 3)5 = log(base 5)(2 + x), then which of the following is true?

Check answer of logarithm Q2

**Q3**: The value of log (base 0.008) √5 + log (base√3) 81 – 7 is equal to

Check answer of logarithm Q3

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