More logarithms

We were taught even more rules and identities. Though Mr. Max doesn't want to prove the identities to us, he wants us to use them.

Here they are:

log a (MN) = log a M + log a N

You factor the logarithm and it's equal when it's factored out.

log a (M/N) = log a M - log a N

It's anoglous to subtracting powers. With x^a / x^b, it becomes: x^ a-b. That is why it's the same here, I think.

log a M(exponent x) = (X)log a M

X is multiplied by log a M. This one I don't quite understand. . . .

That is as far as I remember.