SOLUTION: Solve for the indicated value, and graph the situation showing the solution point. The formula for measuring sound intensity in decibels D is defined by the equation D=10log(II0

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Question 1194425: Solve for the indicated value, and graph the situation showing the solution point. The formula for measuring sound intensity in decibels D is defined by the equation D=10log(II0) using the common (base 10) logarithm where I is the intensity of the sound in watts per square meter and I0=10−12 is the lowest level of sound that the average person can hear. How many decibels are emitted from a jet plane with a sound intensity of 8.1⋅10^2 watts per square meter?

Round your answer to three decimal places.
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
d = 10*log(I/IO)
IO = 10^-12.
therefore:
d = 10 * log(I/10^-12)
jet plane has a sound intensity of 8.1*10^2 watts per square meter.
therefore:
d = 10*log((8.1*10^2) / 10^-12)
10^2/10^-12 = 10^(2-(-12)) = 10^(2+12) = 10^14
therefore:
d = 10 * log(8.1 * 10^14)
log(8.1 * 10^14) = 14.90848502
10 * that = 149.0848502 decibels
that's the value of d.