NinetynineSet equal powers or logs to a common k and take logs
CAT has tested this idea 4 times across 4 papers, from 2017 to 2020. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.
| Question | What it asks | Answer |
|---|---|---|
| CAT 2018 Slot 2 · QA Q9 | p^3 = q^4 = r^5 = s^6; find log_s(pqr) | C |
| CAT 2020 Slot 3 · QA Q11 | 14^a = 36^b = 84^c | 3 |
| CAT 2019 Slot 1 · QA Q2 | 5.55^x = 0.555^y = 1000; find 1/x − 1/y | B |
| CAT 2017 Slot 1 · QA Q21 | log_3 x = log_12 y = a; log of geometric mean | D |
Part of Logarithms & Exponents (55 questions since 2017).