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2016 AMC 10AProblem 2P1-10~1 minPrint
Exponents, Logarithms & RadicalsSet up the equation/formula and compute; no special trick needed

For what value xx does 10x⋅1002x=1000510^{x}\cdot 100^{2x}=1000^{5} ?

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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.