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A-LevelMathematicsLogarithmic and exponential functions9709/21 · May/June 2017 · Q13 Marks

Given that 5ˣ = 3⁴ʸ, use logarithms to show that y = mx and find the value of the constant m correct to 3 significant figures.

  1. Given that 5ˣ = 3⁴ʸ, use logarithms to show that y = mx and find the value of the constant m correct to 3 significant figures.[3]

Mark scheme

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

  1. [M1] Take logarithms of both sides and apply power law to both sides
  2. [A1] Rearrange to the form y = (ln5 / 4ln3)x or equivalent
  3. [A1] Obtain m = 0.366

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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 2017 Paper 2 Variant 1, question 1.

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