Norris Mejia
09/09/2023 · Junior High School

Let \( I_{0} \) be the intensity of sound at the threshold of human hearing. The decibel level of a sound with intensity I is given by \( \mathrm{dB}=10 \log _{10}\left(\frac{1}{I_{0}}\right) \). If the intensity of a sound increases by a factor of 50 , how is the decibel level affected? Round your answer to the nearest tenth.

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The decibel level increases by approximately 17.0 when the intensity of sound increases by a factor of 50.

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