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A-LevelMathematicsLogarithmic and exponential functions9709/31 · May/June 2018 · Q14 Marks

Showing all necessary working, solve the equation ln(x⁴ – 4) = 4 ln x – In 4, giving your answer correct to 2 decimal places.

  1. (a)Showing all necessary working, solve the equation ln(x⁴ – 4) = 4 ln x – In 4, giving your answer correct to 2 decimal places.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [M1] Use law for the logarithm of a product, quotient or power
  2. [A1] Obtain a correct equation free of logarithms, e.g. 4(x²-4) = x⁴
  3. [M1] Solve for x
  4. [A1] Obtain answer x = 1.52 only

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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 2018 Paper 3 Variant 1, question 1.

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