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A-LevelMathematicsLogarithmic and exponential functions9709/33 · May/June 2019 · Q14 Marks

Use logarithms to solve the equation 53−2x = 4(7x), giving your answer correct to 3 decimal places.

  1. (i)Use logarithms to solve the equation 53−2x = 4(7x), giving your answer correct to 3 decimal places.[4]

Mark scheme

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

  1. [M1] Use law of the logarithm of a product or quotient
  2. [M1] Use law of the logarithm of power twice
  3. [A1] Obtain a correct linear equation in x, e.g. (3-2x)ln5=ln4+xln7
  4. [A1] Obtain answer x 0.666

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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 2019 Paper 3 Variant 3, question 1.

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