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Real-life situation in logarithmic functions

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You can just switch on the heater of your swimming pool / sauna / living room etc. But if you want to be calculate what time you should switch it on, to make sure that it is not heated up too early (save energy) or too late, you would use the logarithmic functions.

Show in detail, how these situations can be represented by a logarithmic functions.

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Solution Summary

This is a real-life situation modeled by logarithmic functions.

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Please see the attached file.

The equation for the amount of heat transferred is given as:
Q = m c T,
Where Q = Total amount of heat supplied
c = specific heat of the material
T = ...

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