\(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\)

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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