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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
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