“承认为嫡出”可以翻译为 “acknowledge as a legitimate offspring” 或 “recognize as born of the principal wife (in a polygamous context)” 。
“legitimate offspring” 强调是合法婚姻所生的子女，即嫡出；“born of the principal wife” 明确指出是正妻所生，在涉及一夫多妻（polygamous）语境下能准确表达嫡出的含义。