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AHSME 1962 Problem 28

    The set of xx-values satisfying the equation xlog⁡10x=x3100x^{\log_{10} x} = \frac{x^3}{100} consists of: (A) 110(B) 10, only(C) 100, only(D) 10 or 100, only(E) more than two real numbers.\textbf{(A)}\ \frac{1}{10} \textbf{(B)}\ \text{10, only} \textbf{(C)}\ \text{100, only} \textbf{(D)}\ \text{10 or 100, only} \textbf{(E)}\ \text{more than two real numbers.}

    Dataset text NuminaMath-1.5. Quoted with source.

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