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A-LevelMathematicsLogarithmic and exponential functions9709/23 · Oct/Nov 2020 · Q14 Marks

Given that ln(2x + 1) – ln(x − 3) = 2,

  1. find x in terms of e.[4]

Mark scheme

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

  1. [M1] Use correct logarithm property to simplify left-hand side Or equivalent method
  2. [M1] Use correct process to obtain equation without logarithms
  3. [A1] Obtain (2x+1)/(x-3) = e² OE
  4. [A1] Obtain x = (3e²+1)/(e²-2) OE

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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, Oct/Nov 2020 Paper 2 Variant 3, question 1.

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