olymmath

JBMO 2012 Problem 4

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  • Answer

Find all positive integers x,y,zx, y, z and tt such that

2x⋅3y+5z=7t2^{x} \cdot 3^{y}+5^{z}=7^{t}

Dataset text NuminaMath olympiads. Quoted with source.

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x=3, y=1, z=t=2

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