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VIDEO: Algebra Applications: Logarithmic Functions, 1

VIDEO: Algebra Applications: Logarithmic Functions, 1

Topic

Logarithmic Functions

Description

Description: This video introduces logarithmic functions as the inverse of exponential functions, emphasizing their role in modeling exponential phenomena. It explores their application in measuring earthquake magnitudes, which are logarithmic by nature, contrasting with the intensity modeled exponentially. Key vocabulary includes exponential functions, logarithmic functions, magnitude, and inverse functions. Applications discussed include earthquake intensity graphs and their management through logarithmic scales to facilitate analysis.

Relevance: Logarithmic functions are crucial in various mathematical and real-world applications, such as exponential growth and decay. Understanding their properties equips students to solve problems involving these phenomena.

Teacher’s Script: Today we will dive into a fascinating aspect of mathematics, logarithmic functions. This video will help you explore their applications, showing how they connect to exponential relationships and various real-world problems. Think about how these functions help us understand patterns and rates in nature, technology, and beyond.

For a complete collection of videos related to Logarithmic Functions, click on this link: Algebra Applications: Logarithmic Functions Collection.

Common Core Standards CCSS.MATH.CONTENT.HSF.LE.A.4
Duration 2.60 minutes
Grade Range 6 - 9
Curriculum Nodes Algebra
    • Exponential and Logarithmic Functions
        • Applications of Exponential and Logarithmic Functions
        • Exponential and Logarithmic Functions and Equations
        • Graphs of Exponential and Logarithmic Functions
Copyright Year 2011
Keywords algebra, logarithmic functions, applications of logarithmic functions