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A-LevelMathematicsLogarithmic and exponential functions9709/32 · May/June 2017 · Q13 Marks

Solve the equation ln(x² + 1) = 1 + 2lnx, giving your answer correct to 3 significant figures.

  1. Solve the equation ln(x² + 1) = 1 + 2lnx, giving your answer 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] Use law of the logarithm of a power or a quotient
  2. [A1] Remove logarithms and obtain a correct equation in x. e.g. x² +1 = ex²
  3. [A1] Obtain answer 0.763 and no other

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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 3 Variant 2, question 1.

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