The relationship between the number of decibels B and the intensity of a sound I in watts per centimeter squared is 10 B = In 10 10-16 (a) Use the properties of logarithms to write the formula in simpler form. O 160+10 log10! O 10 + 160 In I O 10 + 16 log10I O 10 + 160 log10I O 160 + 10 In I (b) Determine the number of decibels of a sound with an intensity of 10-7 watt per square centimeter. dB Need Help? Read It
The relationship between the number of decibels B and the intensity of a sound I in watts per centimeter squared is 10 B = In 10 10-16 (a) Use the properties of logarithms to write the formula in simpler form. O 160+10 log10! O 10 + 160 In I O 10 + 16 log10I O 10 + 160 log10I O 160 + 10 In I (b) Determine the number of decibels of a sound with an intensity of 10-7 watt per square centimeter. dB Need Help? Read It
Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a...
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Transcribed Image Text:The relationship between the number of decibels ß and the intensity of a sound I in watts per centimeter squared is
10
B =
In 10
In10-16
%3D
(a) Use the properties of logarithms to write the formula in simpler form.
O 160 + 10 log10I
O 10 + 160 In I
O 10 + 16 log10I
O 10 + 160 log10!
O 160 + 10 In I
(b) Determine the number of decibels of a sound with an intensity of 10-7 watt per square centimeter.
dB
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