SOLUTION: The sound level L, or "loudness" of sound, is measured in decibels (dB) as L = 10log (I/Io), where I is the intensity of the given sound. Use this formula to answer the following.

Algebra ->  Finance -> SOLUTION: The sound level L, or "loudness" of sound, is measured in decibels (dB) as L = 10log (I/Io), where I is the intensity of the given sound. Use this formula to answer the following.       Log On


   

Question 1103094: The sound level L, or "loudness" of sound, is measured in decibels (dB) as L = 10log (I/Io), where I is the intensity of the given sound. Use this formula to answer the following. (Round answers to the nearest whole number)
City Traffic: 97dB
Vacuum Cleaner: 79dB
c. How many times more intense is the noise from city traffic than a vacuum cleaner?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
97=10%2Alog%28%28I%5B97%5D%2FI%5B0%5D%29%29
log%28%28I%5B97%5D%2FI%5B0%5D%29%29=9.7
I%5B97%5D%2FI%5B0%5D=10%5E%289.7%29
I%5B97%5D=10%5E%289.7%29%2AI%5B0%5D
.
.
79=10%2Alog%28%28I%5B79%5D%2FI%5B0%5D%29%29
log%28%28I%5B79%5D%2FI%5B0%5D%29%29=7.97
I%5B79%5D%2FI%5B0%5D=10%5E%287.9%29
I%5B79%5D=10%5E%287.9%29%2AI%5B0%5D
.
.
So then,
I%5B97%5D%2FI%5B79%5D=10%5E%289.7%29%2F10%5E%287.9%29
I%5B97%5D%2FI%5B79%5D=10%5E%289.7-7.9%29
I%5B97%5D%2FI%5B79%5D=10%5E%281.8%29
highlight%28I%5B97%5D%2FI%5B79%5D=63.1%29