Quelpr
2 marksApplications of Logarithms to Linear Reduction

CSEC Additional Mathematics · 2018 · Paper 2 · Question 1(c)(i)

An equation relating V and t is given by V = ka^t where k and a are constants.

Use logarithms to derive an equation of the form y = mx + c that can be used to find the values of k and a.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 1(a)(i)Find the inverse function, f⁻¹(x), stating its domain.[4 marks]
  2. 1(a)(ii)On the grid provided below, sketch f⁻¹(x).[2 marks]
  3. 1(a)(iii)State the relationship between f(x) and f⁻¹(x).[2 marks]
  4. 1(b)Derive the polynomial, P(x), of degree 3 which has roots equal to 1, 2 and -4.[3 marks]
  5. 1(c)(ii)If a graph of y versus x from the equation in Part (c) (i) is plotted, a straight line is obtained. State an expression for the gradient of the graph.[1 mark]

More practice: the rest of this paper · more Applications of Logarithms to Linear Reduction questions · all CSEC Additional Mathematics past papers