The relationship between the number of decibels B and the intensity of a sound I (in watts per square meter) is: B=10log I10-12 a. Use the properties of logarithms to write the formula in a simpler form. Then determine the number of decibels of a sounds with an intensity of 10-6watts per square meter. b. Find the difference in loudness between an average office with an intensity of 1.26 10-7watt per square meter and a broadcast studio with an intensity of 3.1610-10watt per square meter. c. Find the difference in loudness between a vacuum cleaner with an intensity of 10-4watt per square meter and rustling leaves with an intensity of 10-11watt per square meter.
The relationship between the number of decibels B and the intensity of a sound I (in watts per square meter) is: B=10log I10-12 a. Use the properties of logarithms to write the formula in a simpler form. Then determine the number of decibels of a sounds with an intensity of 10-6watts per square meter. b. Find the difference in loudness between an average office with an intensity of 1.26 10-7watt per square meter and a broadcast studio with an intensity of 3.1610-10watt per square meter. c. Find the difference in loudness between a vacuum cleaner with an intensity of 10-4watt per square meter and rustling leaves with an intensity of 10-11watt per square meter.
Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 66SE: The intensitylevels I of two earthquakes measured ona seismograph can be compared by the formula...
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- The relationship between the number of decibels B and the intensity of a sound I (in watts per square meter) is: B=10log I10-12
a. Use the properties of logarithms to write the formula in a simpler form. Then determine the number of decibels of a sounds with an intensity of 10-6watts per square meter.
b. Find the difference in loudness between an average office with an intensity of 1.26 10-7watt per square meter and a broadcast studio with an intensity of 3.1610-10watt per square meter.
c. Find the difference in loudness between a vacuum cleaner with an intensity of 10-4watt per square meter and rustling leaves with an intensity of 10-11watt per square meter.
d. You and your roommate are playing your stereos at the same time and at the same intensity. How much louder is the music when both stereos are playing compared with just one stereo playing?
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