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A-LevelMathematicsLogarithmic and exponential functions9709/33 · Oct/Nov 2018 · Q24 Marks

Showing all necessary working, solve the equation (2eˣ + e⁻ˣ) / (eˣ – e⁻ˣ) = 4, giving your answer correct to 2 decimal places.

  1. Showing all necessary working, solve the equation (2eˣ + e⁻ˣ) / (eˣ – e⁻ˣ) = 4, giving your answer correct to 2 decimal places.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [M1] Rearrange the equation in the form ae²ˣ = b or aeˣ = be⁻ˣ
  2. [A1] Obtain correct equation in either form with a = 2 and b = 5
  3. [M1] Use correct method to solve for x
  4. [A1] Obtain answer x ≈ 0.46

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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 2018 Paper 3 Variant 3, question 2.

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