The loudness, l, measured in decibels (db), of a sound intensity, i, measured in watts per square meter, is defined as where and is the least intense sound a human ear can hear. jessica is listening to soft music at a sound intensity level of 10-9 on her computer while she does her homework. braylee is completing her homework while listening to very loud music at a sound intensity level of 10-3 on her headphones. how many times louder is braylee's music than jessica's?

The music that Braylee is listening is 3 times louder than the music Jessica is listening.

Step-by-step explanation:

Given:

Sound Intensity level of Jessica music = {tex]10^{-9}[/tex]

Sound Intensity level of Braylee music = {tex]10^{-3}[/tex]

Now we convert intensity level to loudness of music.

we know that loudness is measured as,

The loudness of music that Jessica is listening given by,

The loudness of music that Braylee is listening given by,

So, Number of time Braylee's music louder than Jessica's =

Therefore, The music that Braylee is listening is 3 times louder than the music Jessica is listening.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

step-by-step explanation: