Quantitative Aptitude – Algebra – Logarithms – If G is the geometric mean

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

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

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