Logarithms and Exponents Teacher Resources
Find Logarithms and Exponents educational ideas and activities
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Sal gets to the heart of the matter in this video, clarifying that it's important to understand math "so you can actually apply it in life later on and not have relearn everything every time." True to his word, Sal demonstrates ways to more easily and intuitively solve logs and exponents with several well-explained examples.
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 any two inverse functions. This activity is the second in a series of two. Note that the resource itself references only Common Core standard F-BF.4. This review, however, includes Common Core standard F-BF.5 because the task is very dependent on understanding the inverse relationship between exponents and logarithms.
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two discussion questions about generalized cases. This activity is the first in a series of two.
Students explore the concept of exponents. For this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
By using the definition of a logarithm and the rules of exponents, Sal proves the Product Property of Logarithms in this video. He does a nice job of helping the listener develop an intuitive understanding of what a logarithm is.
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 population growth.
Students solve exponential equations using logarithms. In this solving exponential equations using logarithms lesson, students read a story on their Ti-Nspire about exponentials and logarithms. Students solve problems in the story using logarithms. Students use the power, product, and quotient properties to solve the stories' problems.
Students analyze logarithmic functions. In this algebra lesson, students rewrite exponential equation in to logarithmic expressions and vice verse. They solve problems using the properties of logs and exponential functions.
Students explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
In this algebra worksheet, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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 the functions, examine reflections over the line y = x, and examine the restrictions associated with each function. Explore the compound interest equation as a real world application.
In this algebra learning exercise, students evaluate, graph and solve logarithmic functions. They rewrite log functions and identify different log properties.
In this thought-provoking video, Sal shows how a typical linear scale is different than a logarithmic scale. He plots numbers on both scales and compares them to show why the logarithmic scale is useful. This video gives a nice intuitive explanation that is easy to follow.
In this exponential and logarithmic worksheet, learners examine functions containing exponents and logarithms. They identify the domain, range, asymptotes and graph the function. This five-page worksheet contains 5 problems.
In this exponent and logarithm worksheet, students convert equations from logarithm form to exponent form. They solve exponential equations and examine the graphs. This 22-page worksheet contains notes and approximately 10 example problems.
Students investigate and apply properties of logs and exponents. In this algebra lesson, students find exact answers and estimated answers to logs and natural logs problems. They add, subtract, divide and multiply exponential functions using the correct properties.
Students solve problems with logs. In this algebra lesson, students apply the properties of logarithms and exponents to solve equations. They calculate the half life an doubling time as they solve word problems.
Twelfth graders investigate logarithm differentiation. In this calculus lesson, 12th graders explore situations in which one would use logarithmic differentiation as an appropriate method of solution. Students should have already studied the chain rule.
Students solve exponential functions. In this algebra activity, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
In this algebra activity, students identify the properties of logs. They solve exponential problems using properties of exponents. There are 6 questions.