$\"\"$

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The equation is $\"\"$ , where the loudness $\"\"$ measured in decibels (dB), intensity of sound $\"\"$ measured in watts per square meter, $\"\"$ watt per square meter is the least intense sound that a human ear can detect.

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Find the loudness of the sound when the sound intensity $\"\"$ watt per square meter.

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The function is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the above equation

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$\"\"$

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$\"\"$

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$\"\"$

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The power rule of logarirhm functions : $\"\"$ .

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$\"\"$

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Since $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, the loudness is $\"\"$ .

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$\"\"$

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The loudness is $\"\"$ .