For example, we all know how enormous and wide spread the application of derivatives can be. Speed-acceleration, curve-tangent and so on. Any dynamic system has their particular examples.
Is there a similar examples for logarithm? What comes to your mind?
I can only think about tree-related situations. Like, building a tree with n leafs, it will consist of log(n) levels. And other cases, with diviving and branching.
I would appreciate to see any ideas :)
The logarithm is the inverse of the exponential function, so any practical problem that require exponential , also require logarithm. There a lot of such problems. As starting examples You can search for:
radioactive decay ( in physics)
Interest rate ( in economy)
Population grow ( in biology)
And note also that logarithms was the instrument of calculus before computers. E.g. : almost all the astronomical knowledges about the orbits of planets of the 1700-1800 and beginning 1900, comes from calculations made by means of logarithms.
