CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 1(d)
Solve the logarithmic equation \log_5(x + 2) + \log_5(x + 6) = 1.
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Practise this questionOther parts of this question
- 1(a)(i)Let
pandqbe any two propositions. Complete the truth table below.[3 marks] - 1(a)(ii)Hence, state whether the statements
(\sim q \wedge p)andp \vee (\sim q \wedge p)are logically equivalent. Justify your response.[2 marks] - 1(b)Determine the values of
a,b, andc, such that2x^2 - 7x + 12 = a(x - 2)(x - 1) - b(x - 3) + c.[9 marks] - 1(c)Solve the inequality
|3x + 2| \ge 4.[5 marks]
More practice: the rest of this paper · more Exponential and Logarithmic Functions questions · all CAPE Pure Mathematics Unit 1 past papers