How Does 20dB/Decade Equal Slope 1?

[mmmboh]

Can someone explain to me how a 20db/decade=slope 1? I've looked online, and read about 20db/decade, but I don't understand how it's a slope of 1? I get that decade is a factor of ten difference, and that log (10x/x)=1, but how does 20db change by a factor of 1 in that decade is a db is 20log(A/B)?

 

[berkeman]

Can someone explain to me how a 20db/decade=slope 1? I've looked online, and read about 20db/decade, but I don't understand how it's a slope of 1? I get that decade is a factor of ten difference, and that log (10x/x)=1, but how does 20db change by a factor of 1 in that decade is a db is 20log(A/B)?

As you said, it's a 10x increase or decrease in amplitude over a 10x change in frequency. I've never heard it called "slope 1", however. Maybe per pole or per zero, but not slope 1.