Logs

$$log_{1}x = 0$$
$$log_{x}x = 1$$
$$log_{x}{y^z} = zlog{_{x}y$$
$$log_{x}x^y = ylog_{x}x = y(1) = y$$
$$log_{x}{yz} = log_{x}y + log_{x}z $$
$$log_{x}{(y/z)} = log_{x}y - log_{x}z $$