An example how logarithms are used to explain a real life occurance?

Answer 1

not sure exaclty what you asking, but if ur asking for an example of what logarithms are used for in real life, then there are a heaps of examples.

briefly, some examples are banks use logarithmic functions to calculate the accumilation of interest in bank accounts over the years (eg. Interest = xyz^0.01k), engineers use it to determine how quick things dry/cool down, etc.

if u want a proper algebratic example, here is newtons law of cooling which is:

y=yi x e^-kt

where:

y - different between temprature of body and the constant temp of room

yi - initial temprature difference of body and room

e - eulers number (2.718...)

t - time in mins

k - constant for that particular body (usually what u are trying to find out in class tasks)

using logarithms, newtons law can predict how how a body (such as cup of coffee) will be after any given period of time.

This was the most practicle example i could think of

;)

Nick