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\(\frac{a}{b}\)
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The loudness of a sound, \(L\) (in decibels, dB), is related to its intensity \(I\) (in W/m\(^2\)) by the formula:$$ L = 10 \log_{10}\left(\frac{I}{10^{-12}}\right) $$
Find the loudness, in dB, of a vacuum cleaner with an intensity of \(10^{-4}\) W/m\(^2\).
Determine the intensity of a sound that has a loudness of 100 dB.
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