log + sound stuff

[da_silvy]

L1 = 10 log (x)
what is the effect on L1 if x is doubled

and


what is the effect on x if L1 is doubled

Thanks!

[da_silvy]

L1 = 10 log x
L2 = 10 log 2x

(10 ^ L1) ^ 1/10 = ((10 ^ L2) ^ 1/10) / 2

10 ^ L1 * 2^10 = 10 ^ L2

1024 * 10 ^ L1 = 10 ^ L2

1024 = (10 ^ L2)/(10 ^ L1)

log (1024) = L2 log 10 - L1 log 10 = L2 - L1

.'. L1 is increased by log (1024) ~= 3