The intensity, or loudness, of a sound can be measured in decibels d cap b , according to the equation cap i times d cap b is equal to 10 log open bracket the fraction with numerator cap i and denominator cap i sub 0 close bracket , where cap i is the intensity of a given sound and cap i sub 0 is the threshold of hearing intensity. What is the intensity, in decibels, open bracket cap i times d cap b close bracket , when cap i is equal to 10 to the 8th power times open paren cap i sub 0 close paren ?
Substitute I = 10⁸I₀ into the equation. The ratio I/I₀ is 10⁸, so the intensity is 10 log₁₀(10⁸) = 10 × 8 = 80 decibels. Therefore, the correct choice is 80.
AI-written and checked against the verified answer.