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A-LevelMathematicsLogarithmic and exponential functions9709/22 · May/June 2017 · Q24 Marks

Use logarithms to solve the equation 3ˣ⁺⁴ = 5²ˣ, giving your answer correct to 3 significant figures.

  1. N/AUse logarithms to solve the equation 3ˣ⁺⁴ = 5²ˣ, giving your answer correct to 3 significant figures.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. *M1 Apply logarithms to both sides and apply power law
  2. A1 Obtain (x+4)log3=2xlog5 or equivalent
  3. DM1 dep *M Solve linear equation for x
  4. A1 Obtain 2.07

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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, May/June 2017 Paper 2 Variant 2, question 2.

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