MathDB
AHSME 1950- part 2

Source:

July 19, 2008
logarithms

Problem Statement

Of the following (1) a(x\minus{}y)\equal{}ax\minus{}ay (2) a^{x\minus{}y}\equal{}a^x\minus{}a^y (3) \log (x\minus{}y)\equal{}\log x\minus{}\log y (4) \frac {\log x}{\log y}\equal{} \log{x}\minus{} \log{y} (5) a(xy)\equal{}ax\times ay
<spanclass=latexbold>(A)</span> Only 1 and 4 are true<spanclass=latexbold>(B)</span> Only 1 and 5 are true<spanclass=latexbold>(C)</span> Only 1 and 3 are true<spanclass=latexbold>(D)</span> Only 1 and 2 are true<spanclass=latexbold>(E)</span> Only 1 is true<span class='latex-bold'>(A)</span>\ \text{Only 1 and 4 are true} \qquad\\ <span class='latex-bold'>(B)</span>\ \text{Only 1 and 5 are true} \qquad\\ <span class='latex-bold'>(C)</span>\ \text{Only 1 and 3 are true} \qquad\\ <span class='latex-bold'>(D)</span>\ \text{Only 1 and 2 are true} \qquad\\ <span class='latex-bold'>(E)</span>\ \text{Only 1 is true}