Hey, these are questions i had trouble with

Solve the following for x,

b. log e (5x) - log e (3-2x) +1

c. Log e (x) + log e (3x+1)=1

d. (8e^-x) - e^x =2

Simplify,

a. 1+ log10 a - (1/3)log10 b

b. log2 x -2log2 y + log2(xy^2)

Evaluate,

a. log2 square root 2 + log2 1 +2log2 2

Thanks