Recurrence formula

Algebra Level 2

If f(n):N+N+ f(n) : \mathbb{N}^+ \rightarrow \mathbb{N}^+ is a function that satisfies

f(5)=4,f(5n)=f(n)+3,f(5)=4, f(5n)=f(n)+3,

what is the value of k=110f(5k)?\displaystyle \sum_{k=1}^{10} f(5^k)?

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