State, true or false:
\begin{aligned}
&\text { (i) }\\
&\log 1 \times \log 1000=0
\end{aligned}
\begin{array}{l}
\text { (ii) } \\
\qquad \frac{\log x}{\log y}=\log x-\log y
\end{array}
\begin{aligned}
&\text { (iii) } \quad \text { If, }\\
&\frac{\log 25}{\log 5}=\log x \text { , then } x=2
\end{aligned}
\begin{aligned}
&\text { (iv) }\\
&\log x+\log y=\log x \times \log y
\end{aligned}