helllllllp math

posted by Anubhav

How many positive integers n are there such that 10^n≤ n^10?

  1. Steve

    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

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