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.
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.
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
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
Logarithm Properties: The Log Properties
Roll a log into an equivalent expression. Given four expanded logarithmic expressions, pupils write an equivalent condensed expression. They identify which properties allows for the simplification.
University of Kansas
Exponential and Logarithm Problems
This worksheet manages to provide both fun and serious work solving exponential and logarithmic application problems in engaging story lines and real-life situations. A strong emphasis on science applications and numbers pulled straight...
CK-12 Foundation
Logarithms: Logarithm Triangle
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
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...
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
Reading Graphs with a Logarithmic Scale
Guide high school meteorologists through a detailed examination of oxygen concentration data. The learners analyze a line graph containing logarithmic data and employ the use of a graphing calculator. A comprehensive worksheet and links...
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,...
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
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...
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
The Change of Base Formula: Logarithms
In this logarithms worksheet, students solve 25 short answer problems. Students use the change of base formula to solve each logarithmic expression in the calculator.
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 students 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.
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
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
Properties of Logarithms
Students explore the concept of logarithms. In this logarithms lesson, students graph logarithms on their Ti-Nspire calculator. Students describe the shapes of their graphs by identifying slope, y-intercepts, and roots. Students...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
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 plan introduces and thoroughly explains the Algebra II concept, and closes with a variety of example...
Curated OER
Change of Base Rule
In this change of base rule learning exercise, students 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.