# $$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$$

Algebra Level 2

$$a$$, $$b$$ and $$c$$ are positive real numbers that satisfy $a^x=b^y=c^z=125, \log_{5} abc=3.$ What is the value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}?$

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