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A-LevelMathematicsLogarithmic and exponential functions9709/32 · May/June 2025 · Q15 Marks

Solve the equation ex+2e-xex-3 = 4. Give your answer correct to 3 decimal places.

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [M1] Obtain a 3-term quadratic in ex
  2. [A1] Obtain e.g. 3e2x – 12ex – 2 = 0 or 3-term equivalent
  3. [DM1] Solve a 3-term quadratic to obtain a value for x or ex
  4. [A1] Obtain root 6+√42 / 3 or 4.16...
  5. [A1] Obtain answer 1.426 only

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About this question

Topic
Logarithmic and exponential functions, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2025 Paper 3 Variant 2, question 1.

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