Sound Level (trouble setting up equation)

[Saladsamurai]

Sound Level and Intensity (trouble setting up equation)

A certain sound source is increased by 30 dB. By what multiple is its intensity increased?

This is what I have set up so far, but I do not think it is correct..

$$\beta_1=10\log\frac{I_1}{I_0}$$ and $$\beta_2=40\log\frac{I_1}{I_0}$$
So,
$$\frac{\beta_1}{\beta_2}=\frac{10\log\frac{I_1}{I_0}}{40\log\frac{I_1}{I_0}}$$

and from there I am jammed...we have been using product and sum logs so far...but this expression does not fit the bill..so I believe I have made a conceptual error in setting up the equation.

Do you see my error?
Casey

 

[Saladsamurai]

This is killing me.

Edit: I think I found the correct relationship...how about beta2=beta1+30

so beta2-beta1=30...and then I should be able to use properties of Logs......that worked.

Sweeeeeeeet.
Casey