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O-LevelAdditional MathematicsIndices and surds4037/11 · May/June 2011 · Q48 Marks

Solve the equation 16^(3x-2) = 8^(2x).

  1. (a)Solve the equation 16^(3x-2) = 8^(2x).[3]
  2. (b)Given that √(a⁴b²⁄₅) / (a⅓b⁵⁄₃) = aᵖbᵠ, find the value of p and of q.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.

  1. [1] M1 for powers of 2, 4, 8 or 16 (i.e., writing 16 as 2^4 and 8 as 2^3) or equivalent
  2. [1] A1 for equating powers correctly: 4(3x-2) = 3(2x)
  3. [1] A1 for x = 4/3 or 1.33
  4. [1] B1 for p=1
  5. [1] B1 for q=-4/5

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About this question

Topic
Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, May/June 2011 Paper 1 Variant 1, question 4.

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