This following equation should be labelled (1) \begin{equation} \sin(x)\approx x\quad\mathrm{for}\quad x \ll 1.\end{equation} The first numbered equation in the next blog entry (when viewing the blog in continuous mode) should also be labelled (1). To enable this behavior, I added code snippet #4 to the website's global code injection HEADER. Then I added the following code to the "post blog item" code injection.
$\setCounter(0)$
This reset's the equation counter before each blog entry, preventing equation labels from being cumulative across multiple Blog entries displayed on a single page.