Answer:
65.1 decibels
Step-by-step explanation:
Given
[tex]I = 3.2 * 10^{-6}[/tex] --- intensity
Required
Determine the sound level
This is calculated using:
[tex]B = 10\log(\frac{I}{I_o})[/tex]
Where:
[tex]I_o = 1 * 10^{-12}[/tex]
So, we have:
[tex]B = 10\log(\frac{3.2 * 10^{-6}}{1 * 10^{-12}})[/tex]
Apply law of indices
[tex]B = 10\log(\frac{3.2 * 10^{-6+12}}{1})[/tex]
[tex]B = 10\log(3.2 * 10^{6})[/tex]
Using a calculator, we have:
[tex]B = 10*6.51[/tex]
[tex]B = 65.1[/tex]
