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
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...
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 connection to...
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...
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.
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.
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...
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...
Curated OER
Exercise Set 3.2: Logarithmic Functions
For this logarithm worksheet, young scholars solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
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.
Mt. San Antonio Collage
Exponential and Logarithmic Functions
High schoolers grow their skills exponentially after completing this thorough activity. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
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.
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...
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. Students repeat the process using different exponential functions using a slider.
Curated OER
Exponential and Logarithmic Equations
For this algebra worksheet, 11th graders solve exponential and logarithmic functions using properties of exponents and logs. There are 56 questions with an answer key.
Curated OER
PreCalculus - Logarithms #5
In this logarithms learning exercise, students simplify 14 logarithms. Students re-write each set of logarithms as a single logarithm and solve for the unknown variable.
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
Curated OER
Exponents, Logs and Equations
For this algebra worksheet, students solve logarithmic equations using the 3 properties of logs. They calculate the exponential functions. There are 27 questions.
Curated OER
Logarithmic Differentiation
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive worksheet contains eleven problems. Answers are included.
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
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
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
Del Mar College
The Laws of Logs
Two students were sitting on a log and decided they wanted to be awesome at math. Bring in the logarithm handout! The first page introduces the idea of a logarithm and the different operations and rules it entails. The second page...
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...