4: Exponential and Logarithmic Functions
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- 4.1: Exponential Functions
- India is the second most populous country in the world with a population that is growing by about 1.34% each year. We might ask if we can find a formula to model the population as a function of time if the population continues to grow at this rate. In linear growth, we had a constant rate of change – a constant number that the output increased for each increase in input. This scenario is different – we have a percent rate of change rather than a constant number of people as our rate of change.
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- 4.4: Logarithmic Properties
- In the previous section, we derived two important properties of logarithms, which allowed us to solve some basic exponential and logarithmic equations. While these properties allow us to solve a large number of problems, they are not sufficient to solve all problems involving exponential and logarithmic equations.
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