What are the applications of logarithmic and exponential functions in real life?

I am both a Mechanical and an Electrical engineer ( aka use math in real life every day) and I work every day with systems described by exponential or logarithmic functions.

Just to name a few:

• Charging or discharging of a capacitor
• Any LRC circuit (or any combination thereof)
• Any SMD system (or any combination thereof)
• radioactive decay
• algorithmic efficiency

In other Words, if you want to describe a real life you will probably encounter some exponential function. This comes from the fact that the solution to differential equations ( which govern most of the universe) generally contain an exponential term.