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AHSME 1950 Problem 37

    If y=log⁡axy = \log_{a}{x}, a>1a > 1, which of the following statements is incorrect? (A) If x=1,y=0(B) If x=a,y=1(C) If x=−1,y is imaginary (complex)(D) If 0<x<1,y is always less than 0 and decreases without limit as x approaches zero(E) Only some of the above statements are correct\textbf{(A)}\ \text{If }x=1,y=0 \\ \textbf{(B)}\ \text{If }x=a,y=1 \\ \textbf{(C)}\ \text{If }x=-1,y\text{ is imaginary (complex)} \\ \textbf{(D)}\ \text{If }0<x<1,y\text{ is always less than 0 and decreases without limit as }x\text{ approaches zero} \\ \textbf{(E)}\ \text{Only some of the above statements are correct}

    Dataset text NuminaMath-1.5. Quoted with source.

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