Question

The equation for decibels and sound intensity is D=10log(sub 10) I/I(sub0) where D is decibels.

I(sub0)= 10^-12

I= 10^11

Use properties of exponents and logs to find the decibels.

Answer 1

$D=10\log\dfrac{I}{I_0}\\\\ D=10\log\dfrac{10^{11}}{10^{-12}}\\ D=10\log10^{23}\\ D=10\cdot23=\\ D=230$