This is translated from my own language, so feel free to correct me if I'm using a wrong translation.

A profile curve in (x, z)-plan is given by the graph of the function z = ln (x), where

x [1, 2]. The profile curve is rotated the angle around z-axis counterclockwise as seen from the z-axis'

positive end. This yields the rotation surface F.

Find a parametrization for the profile curve and F.