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Loudness of Sound is defined in terms of decibels.

 L\ =\ 120 + 10\ *\ LOG_{10}\ I \ \ \ ,\ where\ I\ is\ the\ Intensity\ of\ Sound\ Wave. \\ \\ \ \ \ \ Intensity\ is\ Proportional\ to\ f^2,\ where\ f\ is\ frequency. \\ \\ If\ I = K*f^2\ then\ \ L\ =\ (120\ + 10\ *\ LOG_10\ K)\ \ +\ 20\ *\ LOG\ f \\ \\

Loudness is affected by the amplitude(or intensity) of the sound waves.
Loudness is the property by virtue of which a large sound can be distinguished from the faint one,provided both have the same pitch and quality.
L=K log I;
where I is the intensity of the sound wave.
Loudness is calculated in decibel(dB).
L=10 log₁₀(I₁/I₀)decibel(dB).
Hope i helped u:)