$re = '/(?s)<div[^>]*>.*<img.*src=\"([^"]+)\".*<\/div>/mi';
$str = '<div class="header__logo"><a class="logotype" href="http://wpengine.com" data-wpel-link="internal"></a></div>
';
preg_match_all($re, $str, $matches, PREG_SET_ORDER, 0);
// Print the entire match result
var_dump($matches);
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for PHP, please visit: http://php.net/manual/en/ref.pcre.php