Logarithms

Logarithms used to be extremely important.  With modern calculators, logarithms aren't quite as critical as they used to be, but they're still very useful in some cases.  There are a few definitions and identities that will help us out a bit, the most basic ones are:

log (10^x) = 10^{log x} = x

ln (e^x) = e^{ln x} = x

The following work for either common logs (log, base 10) or natural logs (ln, base "e"):

log (AB) = log A + log B

log (A/B) = log A - log B

log (A^B) = B log A

A little practice will help lock these in.  Good luck.