The best way is just to put a line through the mistake and write in the correction next to it. Also, initial near the correction.
Many people use White Out or Green Out to correct their logbook and that is fine too. Some people don't like white out, but I've been using it almost 9 years and never had a problem getting a job or rating.

Don't have your flight instructor rewrite each entry. That is actually illegal. I had a buddy who did that for an expired solo endorsement when I was a flight instructor. An FAA examiner found out and tried to get the CFI's certificate taken away. Apparently intentionally signing an endorsement with the wrong date is illegal.

PS: I noticed your name is Duksrule...you aren't from Oregon are you?