plumiLogarithms and the laws of logs: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 6.2 Logarithms and the laws of logs, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Logarithms and the laws of logs, as a list
- June 2025, AS Paper 2, Q1 (2 marks): You are given that b, c and d are integers greater than 1. a k . c 0 (a) State the value of d [1] (b) State the value of log b b . [1]
- June 2024, Paper 1, Q5 (5 marks): (a) Make y the subject of the formula log ( y k ) x log 2 , where k is a positive constant. [2] - = 10 10 (b) Sketch the graph of y against x. [3]
- June 2023, Paper 1, Q14 (6 marks): (a) Use the laws of logarithms to show that log 200 log 20 is equal to 1. [2] - 10 10 The first three terms of a sequence are log 20 , log 200 , log 2000 . 10 1
- November 2020, AS Paper 1, Q11 (9 marks): In this question you must show detailed reasoning. 1 1 (a) A student is asked to solve the inequality x 4 . 2 1 + The student argues that x 1 4 x 1 16 , so that
- June 2019, Paper 3, Q7 (4 marks): In this question you must show detailed reasoning. (a) Express ln 3 ln 9 ln 27 in terms of ln3. [2] # # (b) Hence show that ln 3 ln 9 ln 27 2 6 . [2] # #
- June 2018, Paper 2, Q5 (3 marks): (i) (A) Sketch the graph of y = 3x. 5 [1] (B) Give the coordinates of any intercepts. [1] The curve y = f(x) is the reflection of the curve y = 3x in the line y
- June 2018, AS Paper 2, Q1 (2 marks): Write down the value of (A) loga (a4), [1] b l. 1 (B) loga a [1]
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