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Pre-Calculus Exponential and logarithmic functions (advanced)

Logarithmic models

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Question 1
186803
The loudness of a sound is modeled by \(L=10\log\left(\dfrac{I}{I_0}\right)\) decibels, where \(I\) is the intensity of the sound and \(I_0\) is the faintest intensity an average person can hear. A vacuum cleaner runs at \(I=10^{7}I_0\). Find its loudness \(\textbf{in decibels}\).
70
 \(~\text{dB}\) 1 mark

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