Applications of Logarithms to Linear Reduction · CSEC Additional Mathematics

7 past-paper questions on Applications of Logarithms to Linear Reduction, part of Surds, Indices, and Logarithms, from every CSEC Additional Mathematics paper on Quelpr.

1. 1(c)(i)1 mark· Additional Mathematics Q1 1(c)(i)Use logarithms to reduce the equation to linear form.
2. 1(c)(i)2 marks· Additional Mathematics Q1 1(c)(i)Use logarithms to derive an equation of the form y = mx + c that can be used to find the values of k and a.
3. 1(c)(ii)3 marks· Additional Mathematics Q1 1(c)(ii)Using a suitable scale, plot the best fit line of the equation in (c)(i) on the graph paper provided on page 9. Use the space below to show your working.
4. 1(c)(ii)1 mark· Additional Mathematics Q1 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.
5. 1(c)(iii)3 marks· Additional Mathematics Q1 1(c)(iii)Hence, estimate the constants A and k.
6. 1(d)(i)2 marks· Additional Mathematics Q1 1(d)(i)Express x³ = 10^(-3) in the form log₁₀x = ax + b.
7. 1(d)(ii)1 mark· Additional Mathematics Q1 1(d)(ii)Hence, state the value of the gradient of a graph of log₁₀x versus x.