EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
Teach Engineering
Common and Natural Logarithms and Solving Equations
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
EngageNY
Inverses of Logarithmic and Exponential Functions
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
University of Notre Dame
The Natural Exponential Function
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals.
Curated OER
Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
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...
Curated OER
An Introduction to the Natural Logarithm (ln)
Young scholars explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. High schoolers repeat the process using different exponential functions using a slider.
Chapman University
ln 2 Series Poster
A nice poster or handout showing the natural logarithm of 2, ln 2, as an alternating series or convergent series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique...
Macquarie University
Logarithms and Exponentials
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while...
EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the activity has scholars use...
Concord Consortium
Defining Logarithms
An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...
Vanier College
Logarithmic Function
The worksheet provides an extensive selection of questions regarding logarithm functions. Evaluating, rewriting, solving, and tons more topics are included in the worksheet.
Mt. San Antonio Collage
Test 2: Rationals, Exponentials, and Logarithms
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range.
Curated OER
Exercise Set 3.2: Logarithmic Functions
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders solve logarithmic problems using the properties of logs. They condense and expand logs using the correct properties. There are 78 problems with an answer key.
Shoreline Community College
Properties of Logarithmic Functions
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...
Curated OER
Natural Logarithms
In this Algebra II worksheet, 11th graders solve equations involving natural logarithms. The two page worksheet contains explanation, worked examples, and four practice problems. Answers are not included.
Mt. San Antonio Collage
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...