CK-12 Foundation
Change of Base: River Logs
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
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,...
Curated OER
The Change of Base Formula: Logarithms
In this logarithms activity, students solve 25 short answer problems. Students use the change of base formula to solve each logarithmic expression in the calculator.
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...
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.
CK-12 Foundation
Solving Logarithmic Equations
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
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...
Curated OER
Change of Base Rule
In this change of base rule worksheet, high schoolers rewrite 6 logarithm problems as a single logarithm using the change of base rule. Students rewrite division of logarithms with the same base as a single logarithm.
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...
EngageNY
Base 10 and Scientific Notation
Use a resource on which you can base your instructional activity on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with...
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson plan, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Curated OER
Logarithmic Transformations
Using the TI calculator to visualize and make predictions, students perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
Curated OER
Graph Logarithms
Mathematicians graph logarithmic equations. Teach your young scholars how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.
Chymist
Visualizing pH
Why are acids and bases important in our daily lives? Lead the class in answering this question, among others, as they experiment with pH paper and classify where various substances belong on the pH scale. They also taste common acids...
Curated OER
Logarithmic Functions as Inverses
In this algebra worksheet, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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.
West Contra Costa Unified School District
Fractional Exponents
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson introduces and thoroughly explains the Algebra II concept, and closes with a variety of example problems,...
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based instructional activity helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The...
Curated OER
Intermediate Algebra Worksheet 2.6
In this intermediate algebra worksheet, students solve logarithms, write equations in exponential, logarithm, and exponential form.. They find the sum and difference of logarithms and solve answers to three decimal places.
Curated OER
Graphing Functions
In this graphing functions worksheet, high schoolers write functions in logarithmic and exponential forms. They evaluate logarithms and determine the inverse of a function. Students graph functions. This six-page worksheet contains 20...
Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Kenan Fellows
Absorbance Curves: Using Spectrophotometers to Quantize the Effects of a Strong Acid on a Buffer
The Henderson-Hasselbalch equation combined logarithmic terms with the application of carbonic acid as a buffer solution. Scholars learn investigate equation and its applications through hands-on experiments. They collect data and...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...