Question 1087558

Use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to 


L = 10 log(I/I0)
 where 

I0
 is the threshold of hearing for the average human ear. 

 Find the loudness when I is 10,000 times I0. This is the intensity level of the average voice. 
L =  

Incorrect: Your answer is incorrect. .
  dB<pre>{{{L = 10 * log ((I/I[o]))}}}
{{{L = 10 * log ((("10,000" * I[o])/I[o]))}}} ------- Substituting {{{"10,000" * I[o]}}} for I
{{{L = 10 * log ((("10,000" * cross(I[o]))/cross(I[o])))}}} 
{{{L = 10 * log (("10,000"))}}}
{{{highlight_green(matrix(1,6, L, "=", 10(4), "=", "=", 40))}}} ------- Replacing {{{log (("10,000"))}}} with 4, since {{{matrix(1,7, log (("10,000")), "=", log (10, ("10,000")), "=", log (10, (10^4)), "=", 4)}}}</pre>