xy+yz+zxxyz\frac{xy+yz+zx}{xyz}

Algebra Level 2

Positive numbers aa, bb, cc, xx, yy and zz satisfy abc=125,ax=by=cx=511.abc=125, a^x=b^y=c^x=5 ^{11}. What is the value of xy+yz+zxxyz?\frac{xy+yz+zx}{xyz}?

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