Hi, i mixed up my log properties a bit and got these problems wrong.

1. find the inverse of the function y = logbase7(x + 3) + 7 <--- for this one i know that i have to interchange the x and y, but i dont know where to go from there

2. Solve the following for x and leave in exact form. Check for extraneous roots.

a. ln(2x - 2) - ln(x-1) = ln(x)

b. (log(8x) - 2log(2x))/logx = 1

c. 2ln(3x) + 5 = 8

d. log(x) = 90 - log(x - 90)

e. x^2(log(x)) - 4(log(x)) = 0 <--- for this one there is a hint, it says to factor first, but i can't seem to figure it out.

Any help is much appreciated, thanks a lot.