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 [TITA]

CAT 2017 Slot 2 QA Q26 Logarithms & Exponents

Question 26 of the Quantitative Ability (QA) section, CAT 2017 Slot 2, with CAT's official answer.

If log(2^a × 3^b × 5^c) is the arithmetic mean of log(2² × 3³ × 5), log(2⁶ × 3 × 5⁷), and log(2 × 3² × 5⁴), then a equals [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 3 Logarithms & Exponents TITA

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