O-LevelAdditional MathematicsLogarithmic and exponential functions4037/12 · Oct/Nov 2019 · Q67 Marks
(a) Write √(p(qp²/r)²) / (p⁻¹(³√qr)) in the form p^a q^b r^c, where a, b and c are constants. (b) Solve log₇x + 2logₓ7 = 3.
- (a)Write √(p(qp²/r)²) / (p⁻¹(³√qr)) in the form p^a q^b r^c, where a, b and c are constants.[3]
- (b)Solve log₇x + 2logₓ7 = 3.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [3] B3 p^(7/2)q^(5/3)r^(-7/3) B1 for each term or for each of a = -7/2, b = -5/3, c = -7/3
- [1] M1 For change of base.
- [1] M1 Dep for forming a 3 term quadratic equation in log₇x and a correct attempt to solve
- [1] M1 Dep on both previous M marks for dealing with a base 7 logarithm correctly
- [1] A1 For both x=7, x=49
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