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O-LevelAdditional MathematicsLogarithmic and exponential functions4037/21 · May/June 2015 · Q15 Marks

Write log₂₇x as a logarithm to base 3.

(a)Write log₂₇x as a logarithm to base 3.[2]
(b)Given that logₐy = 3(logₐ15 - logₐ3) + 1, express y in terms of a.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

[M1] log₃ x / log₃ 27
[A1] log₃ x / 3 isw NOT log₃ x ÷ 3
[M1] logₐ 15 - logₐ 3 = logₐ 5 soi
[M1] logₐ 5³ or logₐ a
[A1] logₐ y = logₐ 125a ⇒ y = 125a

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About this question

Topic: Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source: O-Level Additional Mathematics, May/June 2015 Paper 2 Variant 1, question 1.

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