# Topic Questions: 5.2 Laws of logarithms. — WMA12 Exponentials and logarithms > 54 WMA12 Exponentials and logarithms topic questions (188 marks) on 5.2 Laws of logarithms. — 24 papers, 2019–2026. Open the exact question in the original… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/5-2-laws-of-logarithms/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/5-2-laws-of-logarithms/index.md --- Edexcel IAL · Mathematics · WMA12 · Exponentials and logarithms 54 WMA12 Exponentials and logarithms topic questions are tagged to this syllabus point across 24 papers (2019–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 54 topic questions - 24 papers - 188 tagged marks - 73.0% of topic questions - 78.3% of topic marks - 2019–2026 - Syllabus 2018–current - [All WMA12 Exponentials and logarithms topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Exponentials and logarithms syllabus point appears in 24 WMA12 papers across 2019–2026, contributing 54 topic questions and 188 marks.** The most recent appearance is WMA12/01 January 2026. That equals 73.0% of the 74 topic questions and 78.3% of the 240 marks tagged to Exponentials and logarithms. 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 | | --- | --- | --- | --- | --- | --- | --- | | [**WMA12/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2026-january-wma12-01/#q-2) | **Q2** Trapezium Rule - Edexcel IAL Pure Mathematics P2 January 2026 Q2 | FRQ | 1 of 3 parts ((c)) | 2 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1182ffcc-0637-4249-8567-434d1012571d&question_id=1cded25c-4fb7-40ee-aaf8-4c431c8078b5&source_detail=WMA12%2F01+January+2026) | | [**WMA12/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2026-january-wma12-01/#q-7) | **Q7** Logarithmic and Exponential Equations - Edexcel IAL Pure Mathematics P2 January 2026 Q7 | FRQ | 2 parts ((i), (ii)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1182ffcc-0637-4249-8567-434d1012571d&question_id=b92c93a1-daee-437b-9236-c2aa8fddd6d3&source_detail=WMA12%2F01+January+2026) | | [**WMA12/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2026-january-wma12-02/#q-9) | **Q9** Logarithmic Simultaneous Equations - Edexcel IAL P2 Jan 2026 Q9 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e370653b-888f-434d-862f-65c74ceaf6f8&question_id=a905cd24-54b0-4df7-b658-bfc8003086d3&source_detail=WMA12%2F02+January+2026) | | [**WMA12/01** October 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-october-wma12-01/#q-3) | **Q3** Logarithms and Trapezium Rule - Edexcel IAL P2 October 2025 Q3 | FRQ | 1 of 3 parts ((a)) | 2 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fc9e4e85-cdf6-4e4f-94ce-f418100896fc&question_id=bb580404-fee7-473b-a587-0c7ed250cb66&source_detail=WMA12%2F01+October+2025) | | [**WMA12/01** October 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-october-wma12-01/#q-9) | **Q9** Logarithmic Equations and Proofs - Edexcel IAL P2 October 2025 Q9 | FRQ | 3 parts ((i), (ii)(a), (ii)(b)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fc9e4e85-cdf6-4e4f-94ce-f418100896fc&question_id=ec039a8b-f4a0-4293-b10b-648c4c44d761&source_detail=WMA12%2F01+October+2025) | | [**WMA12/02** October 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-october-wma12-02/#q-5) | **Q5** Logarithm Laws and Equations - Edexcel IAL P2 Oct 2025 Q5 | FRQ | 2 parts ((i), (ii)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6b2cdbab-addf-4fb1-9b3d-de61de2d4fd7&question_id=3c4eb039-82a9-489e-941a-c5c5f90a948e&source_detail=WMA12%2F02+October+2025) | | [**WMA12/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-june-wma12-01/#q-6) | **Q6** Logarithmic and Exponential Equations - Edexcel IAL P2 2025 Jun Q6 | FRQ | 2 parts ((i), (ii)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3b29e201-1087-4524-98b9-78457fbf55e9&question_id=32e62979-57c3-4451-846e-f3eda5bb7c6c&source_detail=WMA12%2F01+June+2025) | | [**WMA12/02** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-june-wma12-02/#q-4) | **Q4** Logarithmic Graphs and Trapezium Rule - Edexcel IAL P2 May 2025 Q4 | FRQ | 2 of 3 parts ((a), (b)) | 8 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5f7a54d4-4121-4b2f-887c-4556f663e8ca&question_id=37331b79-4a99-4060-87aa-cdf5c580aa84&source_detail=WMA12%2F02+June+2025) | | [**WMA12/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2025-january-wma12-01/#q-7) | **Q7** Trapezium Rule and Logarithms - Edexcel IAL P2 Jan 2025 Q7 | FRQ | 2 parts ((i), (ii)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6cd3c32e-52c6-43e8-813b-2d90c40e2016&question_id=65d6738e-c797-4477-bec4-67f97d60122c&source_detail=WMA12%2F01+January+2025) | | [**WMA12/01** October 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-october-wma12-01/#q-6) | **Q6** Logarithmic Equations - Edexcel IAL Pure Mathematics P2 October 2024 Q6 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6dfd4aa8-3174-4cde-9119-b49521b4b409&question_id=0b287a0d-c5b0-41e1-ac1d-d30394146f32&source_detail=WMA12%2F01+October+2024) | | [**WMA12/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-june-wma12-01/#q-3) | **Q3** Logarithms - Edexcel IAL P2 May 2024 Q3 | FRQ | 2 parts ((i), (ii)) | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=db0de4f6-4b04-4261-96dd-b2b034be8e4b&question_id=0edf228e-ff44-477a-9d3e-cc70a5c9857f&source_detail=WMA12%2F01+June+2024) | | [**WMA12/02** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-june-wma12-02/#q-9) | **Q9** Logarithms - Edexcel IAL P2 2024 May Q9 | FRQ | 3 parts ((a), (b), (c)) | 9 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=62e30710-9cc7-42ca-bf99-269350889283&question_id=2ff9d839-ca6e-4b86-93d2-2c29ad56018a&source_detail=WMA12%2F02+June+2024) | | [**WMA12/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2024-january-wma12-01/#q-6) | **Q6** Logarithmic Equations - Edexcel IAL P2 Jan 2024 Q6 | FRQ | 2 of 3 parts ((a), (b)(ii)) | 5 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a0493aa0-a6ae-4894-b7b6-3d80012a67a5&question_id=564fc2f7-c36e-4e92-a143-4a721dffcbdc&source_detail=WMA12%2F01+January+2024) | | [**WMA12/01** October 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-october-wma12-01/#q-5) | **Q5** Logarithms and Exponential Equations - Edexcel IAL Pure Mathematics P2 October 2023 Q5 | FRQ | 1 of 2 parts ((ii)) | 4 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ea647e35-aee5-4abf-98b2-2fd1b40208a3&question_id=0862ec96-c53d-402b-8d88-aa41b11bbb88&source_detail=WMA12%2F01+October+2023) | | [**WMA12/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-june-wma12-01/#q-5) | **Q5** Logarithmic Equations - Edexcel IAL Pure Mathematics P2 June 2023 Q5 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5a8a3039-915a-4831-bbbb-110e0cc3cbe8&question_id=1029ecd6-cf4f-4b2e-a2b8-e5f4db865c33&source_detail=WMA12%2F01+June+2023) | | [**WMA12/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-january-wma12-01/#q-4) | **Q4** Logarithm Equations and Summations - Edexcel IAL P2 Jan 2023 Q4 | FRQ | 2 parts ((i), (ii)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=00333ac2-68f8-4dc9-ab96-d583ac9e5d2a&question_id=2d06b95f-6ba2-4660-929e-4aa297f81f62&source_detail=WMA12%2F01+January+2023) | | [**WMA12/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2023-january-wma12-01/#q-7) | **Q7** Geometric Series Calculations - Edexcel IAL P2 Jan 2023 Q7 | FRQ | 1 of 3 parts ((c)) | 4 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=00333ac2-68f8-4dc9-ab96-d583ac9e5d2a&question_id=70711f56-3d6b-4f32-85f6-bf09178f4f45&source_detail=WMA12%2F01+January+2023) | | [**WMA12/01** October 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-october-wma12-01/#q-4) | **Q4** Logarithmic Modeling - Edexcel IAL Pure Mathematics P2 October 2022 Q4 | FRQ | 2 of 3 parts ((a), (b)) | 6 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=68ff7e5a-d114-4fa3-bc4f-dc6aadb51c92&question_id=fd765407-3bf3-406b-99c7-6bf5ae3899bd&source_detail=WMA12%2F01+October+2022) | | [**WMA12/01** October 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-october-wma12-01/#q-10) | **Q10** Logarithms and Exponential Equations - Edexcel IAL Pure Mathematics P2 October 2022 Q10 | FRQ | 3 parts ((i)(a), (i)(b), (ii)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=68ff7e5a-d114-4fa3-bc4f-dc6aadb51c92&question_id=f072592e-9c56-48d3-9d2c-3bb5585efb6d&source_detail=WMA12%2F01+October+2022) | | [**WMA12/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-june-wma12-01/#q-4) | **Q4** Simultaneous Log Equations - Edexcel IAL Pure Mathematics P2 June 2022 Q4 | FRQ | 1 part | 6 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=26fa1d84-d3ab-4d15-8e1e-974881975a31&question_id=01536fde-913a-43e4-af2a-9107958a82bb&source_detail=WMA12%2F01+June+2022) | | [**WMA12/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-june-wma12-01/#q-9) | **Q9** Exponential Curves and Logarithmic Modeling - Edexcel IAL Pure Mathematics P2 June 2022 Q9 | FRQ | 1 of 4 parts ((d)) | 3 of 9 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=26fa1d84-d3ab-4d15-8e1e-974881975a31&question_id=1374bff3-e8ca-4cf7-b9b0-55815a237800&source_detail=WMA12%2F01+June+2022) | | [**WMA12/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2022-january-wma12-01/#q-4) | **Q4** Logarithmic Equations - Edexcel IAL P2 Jan 2022 Q4 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=181d8146-11ed-496e-b933-f1b210e805cb&question_id=20867aa8-7f96-4e15-8ffc-0939af594cef&source_detail=WMA12%2F01+January+2022) | | [**WMA12/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-october-wma12-01/#q-3) | **Q3** Trapezium Rule and Logarithms - Edexcel IAL P2 October 2021 Q3 | FRQ | 2 of 4 parts ((c)(i), (c)(ii)) | 4 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=93238783-dcf0-4ffd-8ca6-1528ee01fa97&question_id=e5fa3746-4d4b-49c6-9bfb-da600bff1f5e&source_detail=WMA12%2F01+October+2021) | | [**WMA12/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-october-wma12-01/#q-7) | **Q7** Geometric Series - Edexcel IAL P2 October 2021 Q7 | FRQ | 1 of 5 parts ((i)) | 3 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=93238783-dcf0-4ffd-8ca6-1528ee01fa97&question_id=a7ab97a4-448e-499a-b54a-23b6343719cc&source_detail=WMA12%2F01+October+2021) | | [**WMA12/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-june-wma12-01/#q-7) | **Q7** Exponentials and Logarithms - Edexcel IAL Pure Mathematics P2 June 2021 Q7 | FRQ | 2 of 3 parts ((a), (c)) | 8 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bb1224e2-2dbe-4d14-b02d-1157c50a7e7c&question_id=ca7832d8-88f3-4a48-ac05-0a8e3be34807&source_detail=WMA12%2F01+June+2021) | | [**WMA12/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2021-january-wma12-01/#q-3) | **Q3** Exponentials and Logarithms - Edexcel IAL P2 Jan 2021 Q3 | FRQ | 2 parts ((i), (ii)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e17c04c8-1fad-49a0-bfca-b7b74e7807e4&question_id=7ca96ac0-7966-491a-b3cd-ea71dca96668&source_detail=WMA12%2F01+January+2021) | | [**WMA12/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2020-october-wma12-01/#q-9) | **Q9** Logarithms & Exponential Equations - Edexcel IAL P2 2020 May Q9 | FRQ | 2 of 3 parts ((i), (ii)(a)) | 8 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=448d93b4-63ac-4635-a05e-8d585589e39f&question_id=7a0b9a23-2b22-4056-b1a1-49c8275c8c48&source_detail=WMA12%2F01+October+2020) | | [**WMA12/01** January 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2020-january-wma12-01/#q-1) | **Q1** Trapezium Rule & Logarithms - Edexcel IAL P2 Jan 2020 Q1 | FRQ | 2 of 3 parts ((b)(i), (b)(ii)) | 4 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=c3992529-2389-4845-825d-4263667949f8&source_detail=WMA12%2F01+January+2020) | | [**WMA12/01** January 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2020-january-wma12-01/#q-9) | **Q9** Exponential Curves and Logarithmic Equations - Edexcel IAL P2 Jan 2020 Q9 | FRQ | 1 of 2 parts ((b)) | 5 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=79c9d77a-9dd2-498d-884a-7da7a3e5f7ed&question_id=15d4dad3-7966-4a21-a057-010d241ea2e6&source_detail=WMA12%2F01+January+2020) | | [**WMA12/01** October 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2019-october-wma12-01/#q-7) | **Q7** Laws of Logarithms and Series - Edexcel IAL Pure Mathematics P2 October 2019 Q7 | FRQ | 3 parts ((i), (ii), (iii)) | 7 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=68e61f2a-299a-4e1e-a4ae-a8de979c8029&question_id=3f388f77-3fbf-474d-bc79-aa30884ceb51&source_detail=WMA12%2F01+October+2019) | | [**WMA12/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/pure-mathematics-2-wma12/2019-june-wma12-01/#q-8) | **Q8** Logarithms and Exponentials - Edexcel IAL P2 2019 Jun Q8 | FRQ | 2 parts ((i), (ii)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9bc526e7-e2bc-45cd-a6db-300f067c3553&question_id=848cc432-5d7c-477b-a415-093d624365f2&source_detail=WMA12%2F01+June+2019) | ## Related topic questions in Exponentials and logarithms - [5.1 $y=a^{x}$ and its graph.](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/5-1-y-a-x-and-its-graph/) — 10 question items · 8 papers — 24 marks · 2019–2025 - [5.3 The solution of equations of the form $a^{x}=b$.](https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/5-3-the-solution-of-equations-of-the-form-a-x-b/) — 34 question items · 21 papers — 121 marks · 2019–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 31 question stems cover this subtopic across 24 papers, but only 54 tagged parts and 188 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 2019–2026. 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. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/pure-mathematics-2-wma12/exponentials-and-logarithms/5-2-laws-of-logarithms/