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O-LevelAdditional MathematicsLogarithmic and exponential functions4037/22 · Oct/Nov 2018 · Q48 Marks

Solve

  1. (i)2^(3x-1) = 6,[3]
  2. (ii)log₃(y+14) = 1 + 2/logᵧ3[5]

Mark scheme

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

  1. [M1] Take logs : (3x-1) log2 = log6
  2. [A1] Make x the subject : x = (log6/log2 + 1) / 3 oe
  3. [A1] awrt 1.19 or awrt 1.195
  4. [B1] 1 = log₃3
  5. [B1] 2/logᵧ3 = 2log₃y
  6. [B1] 3y² - y - 14 = 0
  7. [M1] Solve a three term quadratic
  8. [A1] y = 7/3 only

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About this question

Topic
Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2018 Paper 2 Variant 2, question 4.

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