Ln of a complex number

[Quadratica]

1.How can I get the Prime to give me an exact value for Ln(1+i) and then Ln(a+ib) a, b are real and i is the root of negative 1. (My nspire does this)

2. How can I get the Prime to return a symbolic solution to the general cubic, it does the quadratic. (you've guessed it, my nspire does the cubic too)

I prefer the Prime over the nspire !

Many thanks for helping.