At it's most simple, a logarithm is just something that, given a power of ten, spits out the number of zeros at the end of it.
log(1) = 0
log(10) = 1
log(100) = 2
log(1,000) = 3
log(10,000) = 4
Most of the time when you see
log() it is referring to log base 10.
There is a convention in math where often
log() is referring to
log_e() = ln() (but I need to learn more about this)
log(a * b) = log(a) + log(b)
- Intuitive because you're just counting the number of zeros like this:
- $$(log(1,000) + log(100)) = log(1,000 \times 100) = log(100,000) = 5$$
The earthquake scale is
log_32. An 8.0 seismic earthquake is 32X larger than a 7.0 earthquake (which is, of course, 32X larger than a 6.0).
Decibels are a logarithmic scale.
- Logarithm Fundamentals https://www.youtube.com/watch?v=cEvgcoyZvB4