Exponential Functions Graphs of Exponential Functions Logarithmic Functions Graphs of Logarithmic Functions Logarithmic Properties Exponential and Logarithmic Equations Exponential and Logarithmic Models Fitting Exponential Models to Data

Learning Objectives In this section, you will: In previous sections of this chapter, we were either given a function explicitly to graph or evaluate, or we were given a set of points that were guaranteed to lie on the curve.…

Learning Objectives In this section, you will: Figure 1 A nuclear research reactor inside the Neely Nuclear Research Center on the Georgia Institute of Technology campus (credit: Georgia Tech Research Institute) We have already explored some basic applications of exponential and logarithmic…

Learning Objectives In this section, you will: Figure 1 Wild rabbits in Australia. The rabbit population grew so quickly in Australia that the event became known as the “rabbit plague.” (credit: Richard Taylor, Flickr) In 1859, an Australian landowner named Thomas Austin…

Learning Objectives In this section, you will: Figure 1 The pH of hydrochloric acid is tested with litmus paper. (credit: David Berardan) In chemistry, pH is used as a measure of the acidity or alkalinity of a substance. The pH scale runs from 0…

Learning Objectives In this section, you will: In Graphs of Exponential Functions, we saw how creating a graphical representation of an exponential model gives us another layer of insight for predicting future events. How do logarithmic graphs give us insight into…

Learning Objectives In this section, you will: Figure 1 Devastation of March 11, 2011 earthquake in Honshu, Japan. (credit: Daniel Pierce) In 2010, a major earthquake struck Haiti, destroying or damaging over 285,000 homes4. One year later, another, stronger earthquake devastated Honshu,…

Learning Objectives As we discussed in the previous section, exponential functions are used for many real-world applications such as finance, forensics, computer science, and most of the life sciences. Working with an equation that describes a real-world situation gives us…