Lesson: Common and Natural Logarithms and Solving EquationsContributed by: VU Bioengineering RET Program, School of Engineering, Vanderbilt University
Educational Standards :
Learning Objectives (Return to Contents)
After this lesson, students should be able to:
Introduction/Motivation (Return to Contents)
We are going to continue our study of logarithms today. Do you remember what we read a few days ago about the bone mineral density test and how we found out that we needed to know about logarithms in order to be able to read the bone mineral density image? Now that we have learned about the basics of logarithms—that they are the inverse of exponents, and some of their algebraic properties—let's move on to learn about the different types of logarithms.
You may have noticed that all the logarithms we have seen so far have a subscript number next to them. This is called the base. We have been working with other bases, usually small whole number, such as 2, 3 and 5. When no base is given, it is implied that the base is 10. These types of logarithms are called common logarithms. Today, we will compare the common logarithm to the natural logarithm, which instead of having a base of 10, has a base of e.
Lesson Background & Concepts for Teachers (Return to Contents)
Associated Activities (Return to Contents)
Attachments (Return to Contents)
Assessment (Return to Contents)
Practice Problems: Assign students the practice problems. Grade their answers to assess the learning objectives.
ContributorsKristyn Shaffer, Megan Johnston
Copyright© 2013 by Regents of the University of Colorado; original © 2006 Vanderbilt University
Supporting Program (Return to Contents)VU Bioengineering RET Program, School of Engineering, Vanderbilt University
Acknowledgements (Return to Contents)
The contents of this digital library curriculum were developed under National Science Foundation RET grant nos. 0338092 and 0742871. However, these contents do not necessarily represent the policies of the NSF, and you should not assume endorsement by the federal government..