Hey guys, we're starting a new lesson on properties of logs tomorrow and I'm wondering if you guys can help my understand it? I wanted to do some advanced reading and I picked 3 random examples from the textbook.

1) ln(x+4/x-2)-2ln(x-2)

2) 1+log312-(1/2)log318-log92

3) 8log(b^2)√x - logb (xy)

BTW, the symbols in smaller font are supposed to mean 'to the base of' so and so. As always, thanks for your help!