### Logarithm Laws

I killed logarithms this year. My students really understand logarithms. I have not always been able to say this, but this year I was feeling good. I can not for the life of me figure out why the students can not apply the three basic logarithm laws. They really struggle expanding out condensed expressions. They have a hard time condensing expanded expressions. When they have equations of the form:

log(something)+log(something)=something

or

log(something)-log(something)=something

it doesn’t even cross their minds to combine the logarithms using their logarithm laws. They simply want to “cross off the logs” because there are logs on both sides. Does anyone else have this problem?