Whate is the practical application of logarithm?
2 Answers
Shown below (more calculus inlined )
Explanation:
A practical application of logarithms regarding mechanics:
You can use logarithms for models for particular real life situations
For example take a particle of mass
Use
Where hence this logarithmic solution can be an appropriate model in understanding of the motion the particle has
Turning multiplication or division into addition or subtraction.
Explanation:
In the days before electronic calculators people used tables of logarithms to the base 10 and tables of their inverses called "anti-logarithms" to compute complicated multiplication or division using only addition or subtraction.
Using the properties of logarithms:
Let
Then
Now,
So, with tables of
The same is true of division using subtraction.
For historical interest see: https://www.maa.org/press/periodicals/convergence/mathematical-treasure-babbage-s-tables-of-logarithms