plumiSolving exponential and log equations: WJEC A‑Level Maths questions
WJEC 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 6 questions on Solving exponential and log equations, 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, Unit 3, Q15 (5 marks): 15. Robert wants to deposit £P into a savings account. He has a choice of two accounts. • Account A offers an annual compound interest rate of 1%. • Account B o
- 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, Q10 (3 marks): Showing all your working, solve the equation 2x = 53 . Give your answer correct to two 1 0 decimal places. [3]
- 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
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