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Logarithmic and exponential functions: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 2.2 Logarithmic and exponential functions, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. Q3

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 3: (a) Sketch on the same diagram the graphs of y 3 x 8 and y 5 - . x [2] = - = (b) Solve the inequality 3 x 8 1 5 - . x [4] - 5 (c) Hence determine the largest in
  2. Q4

    Specimen · Paper 2

    The whole paper ↗
    Specimen Paper 2, question 4: (a) Solve the equation 52x + 5x = 12, giving your answer correct to 3 significant figures. [4] 7 (b) It is given that ln(y + 5) – ln y = 2 ln x. Express y in te
All 2 questions on Logarithmic and exponential functions, as a list
  1. June 2024, Paper 2, Q3 (8 marks): (a) Sketch on the same diagram the graphs of y 3 x 8 and y 5 - . x [2] = - = (b) Solve the inequality 3 x 8 1 5 - . x [4] - 5 (c) Hence determine the largest in
  2. Specimen, Paper 2, Q4 (8 marks): (a) Solve the equation 52x + 5x = 12, giving your answer correct to 3 significant figures. [4] 7 (b) It is given that ln(y + 5) – ln y = 2 ln x. Express y in te

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