How can Logarithms be applied to real life situations and examples?

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Discussion Overview

The discussion explores the application of logarithms in various real-life situations and examples, touching on theoretical and practical aspects.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant suggests that logarithms relate to orders of magnitude, particularly in contexts of exponential growth and decay, such as cancer cell growth.
  • Another participant provides a link to a logarithmic spiral as an example of logarithmic applications.
  • Logarithms are noted to appear in several scales and equations, including the Richter scale for earthquakes, the Decibel scale for sound power, the pH scale for acidity, and in the frequencies of musical notes.
  • A formula is presented for calculating the time it takes for an investment to reach a certain value using logarithms, specifically in the context of compound interest.
  • A participant references another thread for additional examples of logarithmic applications.

Areas of Agreement / Disagreement

Participants present various examples and applications of logarithms, but there is no consensus on a singular comprehensive application or definition. Multiple viewpoints and examples remain without resolution.

Contextual Notes

The discussion includes various contexts in which logarithms are applied, but does not resolve the depth or breadth of these applications or their interrelations.

Who May Find This Useful

Individuals interested in mathematics, physics, engineering, or any field where logarithmic functions are relevant may find this discussion informative.

Niaboc67
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If I understand Logarithms correctly it is the orders of magnitude? Either exponentially growing or exponentially decaying. I've heard that exponential growth is the same as the growth of cancer cells. But what are some other real life applications/examples of logarithms?

Thank You
 
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Logarithms are present in many equations such as the Richter scale for earthquakes, and the Decibal scale for sound power. Also the pH scale for measuring acidity, and the various frequencies of sounds of musical notes.

They are just examples of equations involving logarithms, but hopefully it gives you an insight as to their use.
 
If you wanted to know the time t it would take for an investment P to reach a certain value A at an interest rate r compounded n times, the formula would be:

t = (1/n) log(A/P) / log(1+r/n)
 

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