plumiSolving exponential and log equations: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 6.3 Solving exponential and log equations, 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 10 questions on Solving exponential and log equations, as a list
- June 2025, AS Paper 2, Q15 (7 marks): 3x 15 (a) On the axes in the Printed Answer Booklet, sketch the graph of y [2] . = 3x (b) Determine the exact coordinates of the points of intersection of the c
- June 2023, Paper 1, Q9 (10 marks): d y - . x x 9 The gradient of a curve is given by d e 4 e = - x (a) Show that the x-coordinate of any point on the curve at which the gradient is 3 satisfies th
- June 2023, AS Paper 1, Q9 (9 marks): x 9 The graph shows the function y e . = y x O x 2 x (a) Describe the transformation of the graph of y e that gives the graph of y e . [2] = = x A second functi
- June 2023, AS Paper 1, Q10 (7 marks): Layla invests money in the bank and receives compound interest. The amount £L that she has after 1 023t t years is given by the equation L 2800 . . = # (a) (i)
- June 2022, Paper 1, Q14 (13 marks): Alex places a hot object into iced water and records the temperature i °C of the object every minute. e kt The temperature of an object t minutes after being pl
- June 2022, Paper 2, Q3 (6 marks): 4x 3 (a) On the axes in the Printed Answer Booklet, sketch the curve with equation y 3 . . [3] = # x (b) Given that 3 0 4 . 0 8 . , determine the value of x cor
- June 2022, AS Paper 2, Q3 (3 marks): Ae . 0 02 t 3 You are given that y . = • Make t the subject of the formula. • Find the value of t when y 108 107 and A 6 62 . . [3] = = #
- November 2021, AS Paper 2, Q5 (7 marks): In 2019 scientists developed a model for comparing the ages of humans and dogs. According to the model, Y = AlnX + B where X = dog age in years and Y = human ag
- 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 2018, Paper 3, Q9 (4 marks): x e 9 The function ( )x is defined on the domain x x f , 0 . R ! = d x 1 e - f 1 (i) Find ( )x [3] - . f 1 (ii) Write down the range of ( )x [1] - . a 4
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