So I've been struggling with working out how logarithms work and have finally decided that I'm tired of that. As far as I understand the basic gist of it a logarithms is effectively the analog of division for exponentials. The problem comes in with most descriptions I've found which go something along the lines of "take the logarithm of x, add it to y and the do something with the antilogarithm and you have the answer". Yeah, great, and how do I calculate the logarithm and the antilogarithm exactly?
So, sarcasm aside and ignoring the issues of /using/ logarithms for a moment. How do I calculate the log and anti-log for... something. Also writing that sentence reminds me, what are logs and anti-logs calculated "against".
I truly apologise for how vague and terribly worded my question is, but it's a direct reflection of how bad my grasp is on this topic. And this is as far as I'd gotten in all the reading I've done over the years (which has been considerable). My problem is sort of that most things I've read suggests a lookup table for the log and anti-log, which I would agree with is the way to go when /using/ logs, but I've got a bad history with lookup tables. I can't /understand/ the thing from a lookup table, I /still/ don't understand the whole sine cosine etc thing since all I ever got was "use a lookup table". Practically yes, but I can't understand what the hell the number in the lookup table is suppose to represent if I don't understand how to calculate it.
Sorry, that was a smidgen ranty, but it's a bit of a touchy subject for me. :/
EDIT: Right after posting this I noticed this post by Kinma: https://artofmemory.com/forums/calculating-logarithms-by-hand
This post should possibly be directed there I think.
EDIT 2: Meh, copied the wrong link. -_-