What Is Bigger $\frac{3}{e}$ or $\ln(3)$ Hello everyone what is bigger $\frac{3}{e}$ or  $\ln(3)$?
I tried to square it at $e$ up and I got:
$e^{\frac{3}{e}} = \left(e^{e^{-1}}\right)^{3\:}$ and $3$ but I don't know how to continue I also tried to convert it to a function but I didn't find.

Hint:
Compare the logs and use that $\ln $  is concave, hence its representative curve is below each of its tangents.
