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(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

PLEASE ANSWER TIMEDThe intensity or loudness of a sound can be measured in decibels dB according to the equation IdB10log110 where I amp the intensity of a give class=

Respuesta :

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

Answer:

D) 80

Step-by-step explanation: