Question

(PLEASE ANSWER: TIMED)The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB)=10log[1/10], where I &/ the intensity of a given sound and I0 is the threshold of a hearing intensity. What is the intensity, in decibles, [I(dB)], when I=10^8(I0)? Round to the nearest whole number.
(Refer to photo for equations)
A.8
B.9
C.19
D.80

Answer 1

Answer:

D) 80

Step-by-step explanation:

Answer 2

For this case we have the following equation:
 $l(dB) = 10log( \frac{l}{lo} )$
 We must replace the following value in the equation:
 $l = 10^8lo$
 Substituting we have:
 $l(dB) = 10log( \frac{10^8lo}{lo} )$
 Simplifying the given expression we have:
 $l(dB) = 10log(10^8)$
 Then, using logarithm properties in base 10, we can rewrite the expression:
 $l(dB) = 10(8)$
 Finally, making the product, the result is:
 $l(dB) = 80$
 Answer:
 $l(dB) = 80$
 option 4