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The equality holds when n is an exact power of p. Could you prove that the relation below holds without any examples? Please explain it

The equality holds when n is an exact power of p. Could you prove that the relation below holds without any examples? Please explain it on paper, not typed. Thank you!

2. Let p be a prime number and let n be a positive integer. Show that ordp (n) log n log P For which n are the two numbers equal

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