Teach Engineering
Linear Regression of BMD Scanners
Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Carbon 14 Dating
Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.
Teach Engineering
Light Intensity Lab
Let there be light. The last installment of a seven-part series has pupils conduct an experiment on light attenuation through different numbers of transparency sheets. They then relate the results back to how X-rays measure bone density.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Natural Logarithms
Thirty-one problems present a variety of practice working with natural logarithms. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button...
University of North Carolina
University of North Carolina Wilmington: Logarithmic Functions
Defines logarithmic functions, offers interactive graphs of exponential equations, and explains natural logarithms.
Other
Edinburgh: Natural Logarithm Function
Good detailed site explaining the natural logarithm. The site has links to related topics.
Other
Humboldt State University: Natural Logarithm
Wonderful natural logarithm site from the Humboldt State University with example problems.
Analyze Math
Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)
The applet examines the definition of the natural logarithm ln(x).
Other
Wpi/app. Of the Natural Logarithm and Exponential
A page showing real life applications of natural logarithms in exponential grown and decay functions and Newton's law of cooling. Also includes exercises.
Math Medics
S.o.s. Math: Properties of Logarithms
Site provides the many properties of logarithms, including common and natural logarithms. Also gives examples and formulas for each.
Other
Properties and Laws of Logarithms
Learners explore properties and laws of natural logarithms and logarithms. The mathematics resource consists of lecture notes, downloadable graph paper in PDF format, and links for homework help and TI calculator help.
Other
Numbers, Constants, and Computation: The Logarithm Constant : Log(2)
This site explains The logarithm constant : log(2). It is a very comprehensive site.
Wolfram Research
Wolfram Math World: Common Logarithm
This MathWorld site gives two and three dimensional graph representations of the common logarithmic function, explains its notation, and shows how to represent a common logarithm as a natural logarithm. This site contains numerous...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: The Natural Base, E
Nineteen problems present a variety of practice working with natural logarithms, the natural base, e. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the...
Paul Dawkins
Paul's Online Notes: Logarithmic Functions Practice Problems
In this section we will discuss logarithm functions, evaluation of logarithms and their properties. We will discuss many of the basic manipulations of logarithms that commonly occur in Calculus (and higher) classes. Included is a...
BBC
Bbc: Higher Bitesize Maths: Logarithms
A tutorial on logarithm includes topics such as the laws of logarithms, using a calculator to evaluate, and applying logarithms to real world situations. Examples and a practice test are available.
Other
The Prime Glossary: Logarithmic Function
A glossary definition of a Logarithmic Function. Click on any of the terms in the article for more information about them.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Exponential Functions
Hotmath provides 21 practice problems relating to exponential an logarithmic functions. Each of the practice problems include a step-by-step guide for solving their function.
University of California
University of California: Integrals and the Natural Log
This site explains the natural log and its integral. Includes examples.
Other
Distance Math: Exponential and Logarithmic Functions
This site has explanations of the Exponential and Logarithmic Functions. The site has several examples
TeachEngineering
Teach Engineering: Linear Regression of Bmd Scanners
Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: About "E"
This site gives a discussion about e, the base of the natural logarithm. The site contains history of this real number a discussion on the rationality of the number and how to approximate the value of e. The site contains numerous links...
Anne Arundel Community College
Anne Arundel Community College: Math 131: Special Bases
The tutorial examines base 10 and base e. Students learn about the mathematics concepts through examples with detailed solutions.