A measure of the mechanical damping. The logarithmic decrement is measured dynamically using a torsion pendulum, vibrating reed, or some other free vibration instrument, and is calculated from the natural logarithm of the ratio of the amplitudes of any two oscillations. Its formulation is: where
Ai = amplitude of the ith oscillation
A(i+n) = amplitude of the oscillation n vibrations after the ith oscillation.
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Exponents
Logarithmic functions are converted to become exponential functions because both are inverses of one another.
A basic logarithmic equation would be of the form y = a + b*ln(x)
Exponential growth
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