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What is the decibel level of a dog barking with intensity 10−5 watts per square inch? Use a logarithmic model to solve.

What is the decibel level of a dog barking with intensity 10−5 watts per square inch-example-1

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Answer:

70 dB

Explanation:

D=10log(I10−12)

Substitute in the intensity level, I, and then simplify to find

DD=10log(10−510−12)=10log(107).

Since log107=7, simplify to find

DD=10⋅7=70.

The decibel level is 70dB.

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