The loudness of sound is measured in decibels in honor of Alexander Graham Bell, inventor of the telephone. A decibel is a dimensionless measure of the ratio of two pressures. If the sound pressure to be measured is P, then the sound loudness L in decibels is defined by L = 20log10 (121.3 where Po is a reference pressure at the limits of audibility. Find the ratio P/Po if the pressure P is caused by a rock band at 115 decibels. times higher than the barely audible reference pressure. The pressure caused by the rock concert is Hint: Use the basic properties of logs to isolate P. P :)

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Do I divide 20 from 115 first or should I do the log first in order to find th P? 

The loudness of sound is measured in decibels in honor of Alexander Graham Bell, inventor of the telephone. A decibel is a dimensionless measure of the ratio of two
pressures. If the sound pressure to be measured is P, then the sound loudness L in decibels is defined by
L
-
= 20log10 (121.3.
P
Po
where Po is a reference pressure at the limits of audibility. Find the ratio P/Po if the pressure P is caused by a rock band at 115 decibels.
The pressure caused by the rock concert is
times higher than the barely audible reference pressure.
Hint: Use the basic properties of logs to isolate P.
Transcribed Image Text:The loudness of sound is measured in decibels in honor of Alexander Graham Bell, inventor of the telephone. A decibel is a dimensionless measure of the ratio of two pressures. If the sound pressure to be measured is P, then the sound loudness L in decibels is defined by L - = 20log10 (121.3. P Po where Po is a reference pressure at the limits of audibility. Find the ratio P/Po if the pressure P is caused by a rock band at 115 decibels. The pressure caused by the rock concert is times higher than the barely audible reference pressure. Hint: Use the basic properties of logs to isolate P.
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