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A-LevelMathematicsLogarithmic and exponential functions9709/23 · May/June 2020 · Q13 Marks

Given that 2ʸ = 9³ˣ, use logarithms to show that y = kx and find the value of k correct to 3 significant figures.

  1. Question 1Given that 2ʸ = 9³ˣ, use logarithms to show that y = kx and find the value of k correct to 3 significant figures.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. Apply logarithms to both sides and apply power law at least once
  2. Rearrange to the form y = (3ln 9)/(ln 2) x OE
  3. Obtain k = 9.51

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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 2020 Paper 2 Variant 3, question 1.

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