plumiLogarithms and the laws of logs: WJEC A‑Level Maths questions
WJEC 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 8 questions on Logarithms and the laws of logs, as a list
- Summer 2025, AS Unit 1, Q15 (11 marks): 15. (a) Showing all your working, solve the following equation. log336 – 2log318 + log3180 + log3x = 2 [5] (b) Showing all your working, solve the following equ
- Summer 2024, AS Unit 1, Q17 (7 marks): f x ( ) log (2 x ) 17. A function f is defined by . Another function g is defined by 10 y f x ( ) g x ( ) log (5 x ) . The diagram below shows a sketc
- Summer 2023, AS Unit 1, Q10 (11 marks): Solve the following equations for values of x. 1 0 ( ) = 3 a) ln 2x + 5 [2] b) 2 5 x 1 14 [3] ( ) + log7 x = log3 81 ( ) − log7 8x2 c) 3log7 2x [6]
- Summer 2022, AS Unit 1, Q1 (3 marks): 1 Write down the inverse function of y = ex. On the same set of axes, sketch the graphs of y = ex and its inverse function, clearly labelling the coordinates of
- Summer 2022, AS Unit 1, Q15 (8 marks): 5 Solve the simultaneous equations ⎛ ⎞ ( ) − loga x2y2 ( ) + loga 9 3loga x2y ⎠⎟= loga 36 , ⎝⎜ x2y2 ( ) = 0 . loga y − loga x + 3 [8]
- Summer 2019, AS Unit 1, Q10 (13 marks): 0 a) Solve the following simultaneous equations. 33x × 9 y = 27 2−3x × 8−y = 1 [6] 64 b) Find the value of x satisfying the equation loga3 + 2logax – loga(x – 1
- Summer 2018, Unit 3, Q12 (10 marks): Given that f is a function, 1 2 a) state the condition for f –1 to exist, i) find ff –1(x). ii) [2] The functions g and h, are given by b) g(x) = x2 – 1, h(x) =
- Summer 2018, AS Unit 1, Q17 (11 marks): 7 a) Solve 2log10x = 1 + log105 – log102. [4] Solve 3 = 2e0·5x. b) [2] Express 4x – 10 × 2x in terms of y, where y = 2x. c) Hence solve the equation 4x – 10 × 2
Questions, mark schemes and examiner’s reports are © WJEC CBAC Ltd, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? WJEC A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.