1950 AHSME Problems/Problem 37

Probelm

If $y \equal{} \log_{a}{x}$ (Error compiling LaTeX. Unknown error_msg), $a > 1$ , which of the following statements is incorrect?

$\textbf{(A)}\ \text{If }x=1,y=0 \qquad\\ \textbf{(B)}\ \text{If }x=a,y=1 \qquad\\ \textbf{(C)}\ \text{If }x=-1,y\text{ is imaginary (complex)} \qquad\\ \textbf{(D)}\ \text{If }0<x<z,y\text{ is always less than 0 and decreases without limit as }x\text{ approaches zero} \qquad\\ \textbf{(E)}\ \text{Only some of the above statements are correct}$

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1950 AHSME Problems/Problem 37

Probelm