MathDB
AHSME 1950- part 3

Source:

July 20, 2008
logarithms

Problem Statement

If y \equal{} \log_{a}{x}, a>1 a > 1, which of the following statements is incorrect?
<spanclass=latexbold>(A)</span> If x=1,y=0<spanclass=latexbold>(B)</span> If x=a,y=1<spanclass=latexbold>(C)</span> If x=1,y is imaginary (complex)<spanclass=latexbold>(D)</span> If 0<x<z,y is always less than 0 and decreases without limit as x approaches zero<spanclass=latexbold>(E)</span> Only some of the above statements are correct<span class='latex-bold'>(A)</span>\ \text{If }x=1,y=0 \qquad\\ <span class='latex-bold'>(B)</span>\ \text{If }x=a,y=1 \qquad\\ <span class='latex-bold'>(C)</span>\ \text{If }x=-1,y\text{ is imaginary (complex)} \qquad\\ <span class='latex-bold'>(D)</span>\ \text{If }0<x<z,y\text{ is always less than 0 and decreases without limit as }x\text{ approaches zero} \qquad\\ <span class='latex-bold'>(E)</span>\ \text{Only some of the above statements are correct}