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...
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...
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
Logarithmic Form to Exponential Form and the Reverse
In this algebra worksheet, students convert equations from logarithmic form to exponential form and do the reverse conversion. There are ten questions.
Curated OER
Properties of Logarithms
In this logarithm worksheet, students describe the steps in solving logarithm problems. They determine the value of given logarithms and justify their answers. This three-page worksheet contains 7 problems. Answers are given at the...
Curated OER
Logarithmic Forms
There are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.
Alabama Learning Exchange
Logarithms: Undo the Exponential
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
Curated OER
Exponential and Logarithmic Functions - Ch. 7
For this exponential and logarithmic functions worksheet, students solve twety-two short answer multi-part problems. Students simplify logarithms using logarithm properties, solve logarithmic and exponential equations, and solve word...
EngageNY
The Most Important Property of Logarithms
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson plan, using logarithm tables to develop properties. Scholars...
Curated OER
The Meaning of Logarithms
In this logarithms worksheet, students rewrite logarithms in exponential form. They convert other problems to logarithmic form. This four-age worksheet contains 36 problems. Answers are provided on the last two-pages.
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...
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
The UP's and Down's of Exponents
Students explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Teach Engineering
Bone Density Math and Logarithm Introduction
What do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third lesson of seven is devoted to logarithms and their properties.
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
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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
Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
Curated OER
Exponents and Logarithms Test
In this Algebra II/Pre-calculus worksheet, students solve advanced logarithmic and exponential equations. The two page worksheet contains ten multipart problems. Answers are not provided.
Curated OER
Functions and Logarithms - Week 4
In this function and logarithm worksheet, students solve function problems by finding the sum of the digits. They use logarithms to solve graphing problems and find the number of prime numbers. This three-page worksheet contains eight...
Curated OER
Logarithms
In this logarithms worksheet, 12th graders solve and complete 54 various types of problems. First, they write the numbers in the format of an exponential equation. Then, students write each problem listed and translate into log notation....
Curated OER
Rewrite as Single Logarithm Using the Product Rule
In this Algebra II instructional activity, 11th graders rewrite the sums of logarithms as a single logarithm using the product rule. The one page instructional activity contains five problems. Answers are provided.
Curated OER
Expand Using Laws of Logarithms
In this logarithm learning exercise, learners expand given logarithms containing fractions, exponents, and multiplication problems. This two-page learning exercise contains 8 multi-step problems. Answers are provided on the last page.