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A-LevelMathematicsLogarithmic and exponential functions9709/22 · Oct/Nov 2025 · Q14 Marks

Solve the equation ln(3x+5) – ln(x - 2) = 4. Give your answer in an exact form.

Mark scheme

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

  1. [4] Apply relevant logarithm property
  2. [4] Obtain correct equation without logarithms 3x+5 x-2 = e⁴ or equivalent
  3. [4] Solve equation to find exact value of x
  4. [4] Obtain 2e⁴ +5 3 or exact equivalent.

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About this question

Topic
Logarithmic and exponential functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2025 Paper 2 Variant 2, question 1.

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