Chained logs telescope via change of base
CAT has tested this idea 3 times across 3 papers, from 2020 to 2024. 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 2024 Slot 3 · QA Q16 | 3^a = 4, 4^b = 5, …, 8^f = 9; product abcdef | 2 |
| CAT 2020 Slot 3 · QA Q10 | products of log_2 4, log_4 8, log_8 16 powers | 24 |
| CAT 2020 Slot 1 · QA Q5 | log_4 5 = log_4 y × log_6 √5 | 36 |
Part of Logarithms & Exponents (55 questions since 2017).