Hi guys! I would really love help with some questions on my exam review. My exam is tomorrow and I'm completely confused! Help would be very much appreciated.

Find the domain of:

Solve for X:

I know I need to make them the same base, but I don't know what would be simplest way to do that here.

Determine if (x - 1) is a factor of:

I have absolutely no clue what to do here, except synthetic division with 762 places...