So I'm just starting to learn the properties of logs and I was doing well until I hit problems like this:

And this: log(2x+4)+log(x-2)=1

I know that the answer to the first is (x=1/2) and the answer to the second is (x=3) because they're practice problems with answers but I have no idea how to to get there. I've tried the steps in the book but my answers don't come out anywhere close to the correct answers. Can anyone tell me the steps to solving problems like this?

Thanks,

StM