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A-LevelMathematicsLogarithmic and exponential functions9709/22 · May/June 2019 · Q25 Marks

Solve the equation |4 + 2x| = |3 – 5x|.

  1. (i)Solve the equation |4 + 2x| = |3 – 5x|.[3]
  2. (ii)Hence solve the equation |4 + 2e3y| = |3 – 5e3y|, giving the answer correct to 3 significant figures.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [B1] State or imply non-modular equation (4 + 2x)² = (3 – 5x)² or pair of linear equations
  2. [M1] Attempt solution of 3-term quadratic eqn or pair of linear equations
  3. [A1] Obtain -1/7, 7/3
  4. [M1] Attempt correct process to solve e³y = k where k > 0 from (i)
  5. [A1] Obtain 0.282 and no others

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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 2019 Paper 2 Variant 2, question 2.

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