Exponentials and Natural Logs

Sometimes the quantity which is to be solved for in an equation is in an exponential function

The solution can be found by taking the natural logarithm of both sides of the equation.

so that

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Applications of Logarithms

Applications of common logarithms include

The sound intensity in decibels:

The relative electric power in dB:

Decibels of ratios in the treatment of masking :

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Applications of Exponentials

Applications of exponentials include The charging of a capacitor :

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