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Maths Advanced

Interpreting and Using Logarithmic Scales (Seismic, pH, Acoustics)

What are logarithmic scales?

In this post, we will be interpreting and using logarithmic scales, for example, decibels in acoustics, different seismic scales for earthquake magnitude, octaves in music or pH in chemistry, as a part of the Prelim Maths Advanced course under the topic Exponential and Logarithmic Functions and sub-part Logarithmic Laws and Applications. A logarithmic scale is a scale of measurement where the position is marked using the logarithm of the value instead of the actual value, usually in the base 10.

 

This video explains what a logarithmic scale is, providing examples and how to read one.

 

Ritcher Scale

This video gives a detailed insight into an example of a real-life application of the logarithmic scale, the Richter scale.

 

Acoustics

This video gives a detailed insight into an example of a real-life application of the logarithmic scale, decibels.

 

pH

This video gives a detailed insight into an example of a real-life application of the logarithmic scale, the pH scale.