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VIDEO: Algebra Applications: Logarithmic Functions, 2

VIDEO: Algebra Applications: Logarithmic Functions, 2

Topic

Logarithmic Functions

Description

Description: This segment examines the relationship between sound intensity, measured logarithmically as decibels, and its effect on hearing. The logarithmic nature of decibel scales means each unit increase corresponds to a tenfold rise in intensity. It explains how sound intensity decreases with distance using the inverse square law. Key vocabulary includes decibels, sound intensity, inverse square law, and logarithmic scale. Applications include determining safe distances from loud sound sources, such as rock concerts, to prevent hearing loss.

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 10.08 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, decibels, hearing loss, noise