Logarithmic Scales
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A logarithmic scale is used to measure the loudness of sounds with units in decibels. \(dB = 10{\log _{10}}\left( {\dfrac{{\rm{I}}}{{{{\rm{I}}_0}}}} \right)\), where \(dB\) is in decibels, \(I\) is the intensity of sound and \({{\rm{I}}_0}\) is the threshold of sound intensity detected by the human ear. How much greater is the noise intensity of a band playing at a volume of 120 dB \(\left( {{{\rm{I}}_2}} \right)\) compared with a volume level of 90 dB \(\left( {{{\rm{I}}_1}} \right)\)?
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