AHSME 1950 Problem 18

Of the following (1) $a(x-y)=ax-ay$ (2) $a^{x-y}=a^x-a^y$ (3) $\log (x-y)=\log x-\log y$ (4) $\frac{\log x}{\log y}=\log{x}-\log{y}$ (5) $a(xy)=ax \cdot ay$ $\textbf{(A)}\text{Only 1 and 4 are true} \\\textbf{(B)}\ \text{Only 1 and 5 are true} \\\textbf{(C)}\ \text{Only 1 and 3 are true} \\\textbf{(D)}\ \text{Only 1 and 2 are true} \\\textbf{(E)}\ \text{Only 1 is true}$