I hope this has not been asked already.
while reading a material on upper bounds of polynomials (time complexity) they compared growth of various polynomial functions (like $N\log N$, $N^2$, $N^3$, $2^N$ etc.)
While comparing ($k^N$) and $N!$ I had a doubt on their crossover-point, i.e, when one function exceeds the other.
So, If $k$ is a constant $\lt N$
For what minimum value of $N$ does the function $k^N$ cross/exceed $N!$ ? How to prove it?