# Find any sequence in fractional part of $e^x$?

For any infinite sequence of digits $s$, does an integer number $x$ always exist, such that the fractional part of the solution for $e^x = s$?

-

Though if you relax the requirement that $x$ be an integer and allow it to be any real, then of course the answer is yes (which is what I mistakenly thought the question was until you gave your answer and saved me a bit of embarrassment, so +1 for that). –  Rick Decker Aug 22 '13 at 19:02