What are the practical uses of logarithms in real life ?

Logarithms problems.

What are the practical uses of logarithms in real life ?

Postby KlausMikalson » Mon Sep 07, 2020 5:25 am

Hello everyone,,

One cool feature of logarithm is that they can tell you how many digits are in a number. E.x. log base 10 of 6,453 is 3.80976166511, which rounded up is 4. If you use log base 2, you get the number of bits needed to store that number on a computer (because computer data is stored as numbers in a counting system with only two digits -- 0 and 1).
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Re: What are the practical uses of logarithms in real life ?

Postby KlausMikalson » Tue Sep 08, 2020 4:48 am

KlausMikalson wrote:Hello everyone,,

One cool feature of logarithm is that they can tell you how many digits are in a number. E.x. log base 10 of 6,453 is 3.80976166511, which rounded up is 4. If you use log base 2, you get the number of bits needed to store that number on a computer tutuapp.uno/ https://vidmate.cool/ (because computer data is stored as numbers in a counting system with only two digits -- 0 and 1).



There are several measurement scales which are logarithmic in nature. The two most popular ones are the Richter scale and decibels.

Each step in the Richter scale represents a 10x increase in power of the earthquake. So a 6.0 is ten times more powerful than a 5.0 which is ten times more powerful than a 4.0 (which means a 6.0 is one hundred times more powerful than a 4.0).

Decibels are similar but the 10x happens every 10 steps. So 30 decibels is ten times more powerful than 20 which is ten times more powerful than 10.

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