Examples are log10(100), cbrt(27), exp10(2), log2(2), pow(4.0, 0.5) These all return the correct exact value, but FE_INEXACT is raised.
None of these are functions (such as fma or sqrt) for which Annex F specifies correct "inexact" exceptions, and as such correctly raising or not raising "inexact" for them is outside the goals for correctness of results that I described at <http://sourceware.org/ml/libc-alpha/2013-05/msg00132.html>. If you find bugs that are bugs according to the goals as described there, please file separate bugs in Bugzilla for each function, and each distinct issue (missing exceptions / spurious exceptions / inaccurate return value / missing errno / incorrect errno), after checking the bug isn't already filed; omnibus bug reports about "various functions" should be avoided, as liable to lead to a long time when a bug is partly fixed, a state Bugzilla is not good at tracking. (A single bug can cover all of the float, double and long double versions of a function, if they appear to share an issue.)