any time you need to convert multiplications to additions,
can be useful. For example, if you get a
loan at a
that has continuous interest (they all do), if you
to calculate how long it will take to pay it back, you
to use logarithms.
you are a scientist studying anything with exponential
like biologists studying populations, physicists
nuclear reactions, chemists studying chain
or a banker calculating how long it will take for
to reach certain levels at given interest rates,
need to use logarithms.
you are a physiologist looking at how the eye reacts to
or the ear to sound, both are so-called "logarithmic
i.e., if you double the light or the sound, the
of the eye or ear is to signal not a double
but rather an increase by a fixed step.
you can see light or hear sound in a huge range without
a complex signaling system.
engineers use logarithms to work on signal
decay. Similarly with communications experts. Computer
looking at how fast programs run with respect
the size of the inputs use logarithms often.
most good sorting programs take time proportional
n*log(n) to sort a list of n items.
are probably plenty more examples, but these should
you started in thinking about this.