Logarithms and their use in the real world

Click For Summary
Logarithms play a crucial role in various real-world applications, particularly in biological processes such as hearing and eyesight, which are based on logarithmic relationships. They are also significant in thermodynamics and can simplify complex problems by allowing for easier regression analysis when plotting logarithmic values. Understanding logarithms helps in modeling situations where the rate of change is proportional to the quantity involved. Resources are available online that explore the presence of logarithms in nature and their practical implications. Overall, logarithms are essential tools for analyzing and interpreting data across multiple fields.
Niaboc67
Messages
249
Reaction score
3
Hello, I have been studying Logarithms in University. I understand it's how many of ONE number to get another number, and I see how it is rearranged to find these "missing" links. But maybe I am overlooking something, but I don't quite see the bigger picture here with how to use Logarithms. How can they be applied to something in real life? If someone could present a problem and then a solution to how logarithms could be used in real life that would be fantastic.

Thank You
 
Mathematics news on Phys.org
There are lots of situations where the rate of something depends on the quantity ... i.e. of form: ##\dot y(t) = ky(t)##

Biological processes like hearing and eyesight are based on logarithmic relations.
There are also thermodynamic processes that bear logarithmic relations.

It can also be a good tool - lots of situations where plotting the the log of some quantity against another gets a line - lines are usually easier to regress to, so it saves work.

If you google for "logarithms in nature" you get a lot of stuff:
http://www.nature.com/news/2008/080529/full/news.2008.866.html
http://enjoyingmath.pbworks.com/w/page/31757192/NATURE and LOGARITHM
http://goldenratiomyth.weebly.com/the-logarithmic-spiral.html
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 13 ·
Replies
13
Views
5K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K