CAT 2020 Slot 3 QA Q3 Logarithms & Exponents

Question 3 of the Quantitative Ability (QA) section, CAT 2020 Slot 3, with CAT's official answer.

Let loga30 = A, loga\(\frac{5}{3}\) = -B and log2a = \(\frac{1}{3}\), then log3a equals
  1. A
    \(\frac{2}{A+B-3}\)
  2. B
    \(\frac{A+B-3}{2}\)
  3. C
    \(\frac{A+B}{2}\) - 3
  4. D
    \(\frac{2}{A+B}\) - 3

Answer: (A) 2/(A+B-3) Logarithms & Exponents MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Change of base: log_a b = 1 / log_b a.

More Logarithms & Exponents questions from CAT

All 55 Logarithms & Exponents questions asked since 2017.