CIE IAL · Mathematics · 9709 P3 · Logarithmic and exponential functions
Topic Questions: • use logarithms to solve equations and inequalities in which the unknown appears in indices — 9709 P3 Logarithmic and exponential functions
27 9709 P3 Logarithmic and exponential functions topic questions are tagged to this syllabus point across 25 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Logarithmic and exponential functions syllabus point appears in 25 9709 P3 papers across 2020–2026, contributing 27 topic questions and 104 marks. The most recent appearance is 9709/32 May/June 2026. That equals 39.7% of the 68 topic questions and 42.4% of the 245 marks tagged to Logarithmic and exponential functions. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/32May/June 2026 · CIE IAL | Q2 Exponential Equation with Logarithms - CIE A Level Mathematics 2026 June Paper 32 Q2 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/33May/June 2026 · CIE IAL | Q2 Exponential Inequality with Absolute Value - CIE Pure Mathematics 2026 Q2 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/32March 2026 · CIE IAL | Q1 Exponential Equation Solving - CIE P3 2026 Mar Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/31October/November 2025 · CIE IAL | Q2 Solving Logarithmic Equation - CIE Pure Mathematics 2025 Nov Q2 |
FRQ | 2 parts ((a), (b)) | 5 | Easy | Go to Practice Hub |
| 9709/32October/November 2025 · CIE IAL | Q2 Exponential Equation Solving with Logarithms - CIE A Level Maths 2025 Winter P32 Q2 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/33October/November 2025 · CIE IAL | Q3 Exponential Equation with Logarithms - CIE Pure Mathematics 2025 Nov Paper 33 Q3 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/32May/June 2025 · CIE IAL | Q1 Exponential Equation - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q1 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/35May/June 2025 · CIE IAL | Q1 Solving Exponential Equation using Logarithms - CIE A Level Mathematics |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/32March 2025 · CIE IAL | Q1 Solving Logarithmic Equation - CIE A-Level Math 2025 Mar Paper 32 Q1 |
FRQ | 1 part | 3 | Easy | Go to Practice Hub |
| 9709/33October/November 2024 · CIE IAL | Q3 Exponential Growth and Linearization - CIE A-Level Pure Mathematics 2024 Nov Q3 |
FRQ | 1 of 2 parts ((b)) | 2 of 5 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2024 · CIE IAL | Q2 Logarithmic Equation - CIE A-Level Maths 2024 Jun Paper 31 Q2 |
FRQ | 1 part | 4 | Easy | Go to Practice Hub |
| 9709/33May/June 2024 · CIE IAL | Q1 Solving Exponential Equation with Logarithms - CIE A-Level Pure Mathematics |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/33October/November 2023 · CIE IAL | Q1 Modular Exponential Inequality - CIE A-Level Maths 2023 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/31May/June 2023 · CIE IAL | Q1 Exponential Equation - CIE Pure Mathematics 2023 Q1 |
FRQ | 1 part | 3 | Medium | Go to Practice Hub |
| 9709/33May/June 2023 · CIE IAL | Q1 Logarithmic Equation - CIE Pure Mathematics 3 2023 Jun Q1 |
FRQ | 1 part | 4 | Easy | Go to Practice Hub |
| 9709/32October/November 2022 · CIE IAL | Q1 Solve Exponential Equation - CIE Pure Mathematics 2022 Nov Paper 32 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/31May/June 2022 · CIE IAL | Q1 Solving Exponential Equation - CIE Pure Mathematics 2022 Jun Paper 31 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/32May/June 2022 · CIE IAL | Q1 Solve Logarithmic Equation - CIE Mathematics 2022 Jun Q1 |
FRQ | 1 part | 4 | Easy | Go to Practice Hub |
| 9709/32October/November 2021 · CIE IAL | Q1 Exponential Equation - CIE A-Level Mathematics 2021 Nov Paper 32 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/33October/November 2021 · CIE IAL | Q3 Exponential Equation Solving - CIE 9709 W21 P33 Q3 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/31May/June 2021 · CIE IAL | Q2 Exponential Equation - CIE Mathematics 2021 Jun Paper 31 Q2 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/33May/June 2021 · CIE IAL | Q2 Exponential Equation Solution - CIE 9709 2021 Jun Paper 33 Q2 |
FRQ | 1 part | 5 | Medium | Go to Practice Hub |
| 9709/32March 2021 · CIE IAL | Q9 Numerical Iteration and Quotient Rule Differentiation - CIE A-Level Mathematics 2021 March Paper 32 Q9 |
FRQ | 1 of 3 parts ((c)) | 6 of 11 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2020 · CIE IAL | Q1 Exponential Inequality - CIE 2020 Jun Paper 31 Q1 |
FRQ | 1 part | 4 | Medium | Go to Practice Hub |
| 9709/33May/June 2020 · CIE IAL | Q3 Exponential Equation and Logarithms - CIE Pure Mathematics 2020 Jun Q3 |
FRQ | 2 parts ((a), (b)) | 6 | Easy | Go to Practice Hub |
Related topic questions in Logarithmic and exponential functions
• understand the definition and properties of and , including their relationship as inverse functions and their graphs
26 marks · 2020–2025
• understand the relationship between logarithms and indices, and use the laws of logarithms (excluding change of base)
88 marks · 2020–2026
• use logarithms to transform a given relationship to linear form, and hence determine unknown constants by considering the gradient and/or intercept
36 marks · 2021–2026
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 25 question stems cover this subtopic across 25 papers, but only 27 tagged parts and 104 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.