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A-LevelMathematicsLogarithmic and exponential functions9709/31 · May/June 2023 · Q13 Marks

Solve the equation 3e²ˣ - 4e⁻²ˣ = 5. Give the answer correct to 3 decimal places.

  1. 1Solve the equation 3e²ˣ - 4e⁻²ˣ = 5. Give the answer correct to 3 decimal places.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. [B1] OE Form 3 term quadratic in e^2x.
  2. [M1] Use correct method to solve for x.
  3. [A1] x = 0.407 Only

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About this question

Topic
Logarithmic and exponential functions, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2023 Paper 3 Variant 1, question 1.

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