AMC 10 Step by Step
2003 AMC 10BProblem 9P1-10~2 minPrint

Find the value of xx that satisfies the equation 252=548/x526/x2517/x.25^{-2} = \frac{5^{48/x}}{5^{26/x} \cdot 25^{17/x}}.

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.