CAPE Pure Mathematics Unit 1 · May/June 2016 · Paper 2 · Question 2(a)
Solve the following equation for x: log₂(10 - x) + log₂x = 4.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 2(b)Determine whether f is bijective, that is, both one-to-one and onto.[8 marks]
- 2(c)(i)State the values of α + β + γ, αβ + αγ + βγ and αβγ.[3 marks]
- 2(c)(ii)Hence, or otherwise, determine an equation with integer coefficients which has roots 1/α², 1/β² and 1/γ². Note: (αβ)² + (αγ)² + (βγ)² = (αβ + αγ + βγ)² – 2αβγ…[8 marks]
More practice: the rest of this paper · more Exponential and Logarithmic Functions questions · all CAPE Pure Mathematics Unit 1 past papers