+33616 If these are decibels and it is the original signal, S, that is 20 times smaller, then we would have either:
(1) -50 = 10log(S), so x = 10log(S/20) = 10log(S) - 10log(20) = -50 - 13 = -63db if the signal is an amplitude, or
(2) -50 = 20log(S), so x = 20log(S/20) = 20log(S) - 20log(20) = -50 - 26 = - 76db if the signal is a power
However, it isn't clear to me from the question if it is this interpretation or Melody's that is wanted!
.
+118608 $$\frac{-50bd}{20}=\frac{-5bd}{2}$$
If you wanted to this could also be written as -2.5bd
+33616 If these are decibels and it is the original signal, S, that is 20 times smaller, then we would have either:
(1) -50 = 10log(S), so x = 10log(S/20) = 10log(S) - 10log(20) = -50 - 13 = -63db if the signal is an amplitude, or
(2) -50 = 20log(S), so x = 20log(S/20) = 20log(S) - 20log(20) = -50 - 26 = - 76db if the signal is a power
However, it isn't clear to me from the question if it is this interpretation or Melody's that is wanted!
.
