Give an example where a logarithmic function is used in real life. Describe the increase/decrease in the context of the example and why it is important in the real world.

Anywhere you find exponentials you will find logarithms. For example, if a population (people, animals, bacteria, whatever) is allowed to grow unchecked at a constant rate of reproduction, then the population at time t will be rt times as large as the initial population. So the time required for the population to increase by a factor of k is logk to base r