Hello everyone!
So as far as five four goes, it’s just building off of five three’s ideas. To start it all off, let’s review:
Last section told us that log has a subscript 10 (common log) and that ln has a subscript e (natural log). Now that we have that covered, moving onto the…
Law of Logarithms.
1) loga(uw) = logau + logaw
2)loga(u/w) = logau - logaw
3)loga(uc) = c logau
Easy enough, right? Now to le comparisons.
| Common Logarithms | Natural Logarithms |
| log(uw) = logu + logw | ln(uw) = lnu + lnw |
| log(u/w) = logu – logw | ln(u/w) = lnu – lnw |
| log(uc) = c logu | Ln(uc) = c lnu |
There are no differences in the way you play out these logarithms, just differences in the meanings.
BUT, BEWARE. THERE IS A SLIGHT CATCH. Loga(u+w) does NOT translate to logau + logaw. Also, loga(u-w) does NOT translate to logau – logaw. This isn’t like f(x) in those ways at all!
^ You can’t have a log of a negative number, that’s why -4 doesn’t work.
Onward again,
So I think that’s about it, I hope this helped!
Have a great weekend!
P.s. COME TO FALL PLAY TOMORROW AT 2 PM. MR WILHELM WENT TONIGHT(sorry I didn't say hi to you) SO YOU SHOULD GO TOMORROW.
