O-LevelAdditional MathematicsLogarithmic and exponential functions4037/22 · Oct/Nov 2013 · Q44 Marks
Given that logₚ X = 5 and logₚ Y = 2, find
- (i)logₚ X².[1]
- (ii)logₚ (1/X).[1]
- (iii)logₓᵧ p.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2013). The mark or mark type is shown in brackets.
- [B1] 10
- [B1] -5 Not logₚ 1-5
- [B1] logₓᵧ p = 1 / logₚ XY Or logₓᵧ p = 1 / logₚ XY. Do not allow just logₚ X + logₚ Y = 7.
- [B1] 1/7 ♫ on 1 / logₚ XY
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