Mathematics (AS)·Logarithmic and exponential functions · NSSCAS 2.2.3
Reducing relationships to linear form
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In this lesson Miss Eve shows you how to turn a curved law into a straight line using logarithms. You will learn the two laws the exam loves, the power law y = A xⁿ and the exponential law y = A bˣ. By the end you can plot the right graph, read its gradient and intercept, and recover the hidden constants A, n and b. You will also spot the three traps that catch other learners.
What you'll learn in this lesson
By the end you should be able to (NSSCAS Mathematics (AS) 2.2.3):
- Use logarithms to transform a given relationship to linear form, and hence determine unknown constants by considering the gradient and/or intercept.
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