How many positive integers n are there such that 10^n≤ n^10?
Clearly 10^n = n^10 when n=10
Since exponentials grow faster than polynomials for large enough n, It looks like
10^n <= n^10 for n=2..10, or 9 values
Since exponentials grow faster than polynomials for large enough n, It looks like
10^n <= n^10 for n=2..10, or 9 values