Chapter 4 Exponential and Logarithmic Functions

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Many real quantities change by a constant percentage rather than a constant amount. Exponential functions describe this type of growth and decay, while logarithmic functions allow us to reverse exponential processes and solve for unknown exponents. This chapter develops the graphs, transformations, domains, ranges, and inverse relationship of exponential and logarithmic functions. You will apply the laws of logarithms, solve exponential and logarithmic equations, and use Desmos to investigate solutions and graph behaviour. Applications include compound interest, population growth, radioactive decay, cooling, logistic growth, acidity, sound intensity, and earthquake magnitude. These models show how exponential and logarithmic thinking helps explain rapid change and wide-ranging data.