I've never really gotten the hang of algorithms and the like, so I could really use a hand with these.

Here's the question, word for word. Be sure to show your work.

Determine whether or not the following are true. Provide a derivation showing why or why not. For convenience, you may assume that the logs are in the base of your choice, but you should specify what base you are using in your derivation.

a) is

b) is

c) is

d) is