Understanding Log Scales Mathematically, Visually, & in Real-World Contexts • [8.3b] PRE-CALCULUS 12

Looking to learn about logarithmic scales? This video starts with a simple example to illustrate what log scales are and see visually and dynamically how they differ from traditional linear scales. The video also presents example problems based in three common real-world applied contexts in which they are used: earthquake magnitude & the Richter Scale, loudness of sound & the decibel scale, and acidity/basicity and the pH scale. These three applications are used to illustrate, but overall the video focuses more on the central mathematical concept of logarithmic scales rather than the specific detailed physics/chemistry aspects of each situation.
See the rest of my videos covering other Exponential and Logarithmic Functions, Graphs, and Applications concepts:    • ★ Exponential & Logarithmic Functions, Gra...  
My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

Corresponds to chapter 8, sections 8.3 in McGraw-Hill's Pre-Calculus 12, but also fits with an exponents and logarithms unit from almost any other Pre-Calculus course or textbook.

A PDF copy of the 'Video Guide' document used in these videos as well as lots of other resources are available at https://drive.google.com/drive/folder...

#PreCalc12bytheAAMG

00:00 Introduction
00:20 Logarithmic Scales - Concept Introduction
01:28 Understanding Why Log Scales are Used - a simple concrete example
06:57 Seeing Visually Why Linear Scales Don't Work for Wide-Range Data
08:12 Example 1: Magnitude of Earthquakes - the Richter Scale
15:21 Example 2: Loudness of Sound - the Decibel Scale
20:37 Example 3: Acidity/Basicity of Solutions - the pH Scale
27:28 End Screen