I tried this in Mathematica 9.0.1 and DO get the expected message Solve::ifun : Inverse functions are being used by Solve. . . and, furthermore, obtain a rather long solution that is expressed in terms of some InverseFunction expressions.
What version were you using?
On Nov 11, 2013, at 12:05 AM, Narasimham <email@example.com> wrote: