The lower intensity that a human can hear (which is represented with the symbol I0) is about 1x10-12 W/m2. However, a loud music venue may have sounds that are near 1.0 W/m2 (though sound as this intensity would cause permanent damage to your ears).  Because the human ear can detect frequencies over such a large range of intensities, more often a sound intensity level is used.  This level is defined as: β=10 ⋅ log10 ⋅ I/I0 If a person speaks with an intensity of 4.062 μW/m2, what is the sound intensity level in decibels?

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The lower intensity that a human can hear (which is represented with the symbol I0) is about 1x10-12 W/m2. However, a loud music venue may have sounds that are near 1.0 W/m(though sound as this intensity would cause permanent damage to your ears).  Because the human ear can detect frequencies over such a large range of intensities, more often a sound intensity level is used.  This level is defined as:

β=10 ⋅ log10 ⋅ I/I0

If a person speaks with an intensity of 4.062 μW/m2, what is the sound intensity level in decibels?

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