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A-LevelMathematicsLogarithmic and exponential functions9709/32 · Oct/Nov 2024 · Q43 Marks

Solve the equation 5ˣ = 5ˣ⁺² – 10. Give your answer correct to 3 decimal places.

  1. (a)Solve the equation 5ˣ = 5ˣ⁺² – 10. Give your answer correct to 3 decimal places.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [*M1] Use laws of indices correctly and solve for 5ˣ
  2. [DM1] Use a correct method for solving an equation of the form 5ˣ = a, where a > 0
  3. [A1] Obtain answer -0.544

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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, Oct/Nov 2024 Paper 3 Variant 2, question 4.

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