$\"\"$

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.

Find the loudness of the Amplified rock music when the intensity is $\"\"$ watt per square meter.

The function is $\"\"$ .

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

$\"\"$

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

$\"\"$

Since $\"\"$ .

$\"\"$

$\"\"$ .

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

$\"\"$

The loudness is $\"\"$ .