SOLUTION: Can someone think of a logarithmic function that we encounter in our work or in our personal life?

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The magnitude of sound (for example traffic noice, music, etc.) is measured
in logarithms.
All the shifting of the earth plates (earth quakes) are measured in logs.
Half-life of decaying materials is measured with logs.
Time of death of all living things is determined with logs.
Predicting the time required for money to grow is done with logs.
Cheers,
Stan H.