Whether you are learning English for academic purpose,such a

你可以把such as举的例子拿掉,再看看这个句子：
Whether you are learning English for academic purpose or to become a translator,finding the best way to learn is very important.
剩下的句子里for academic purpose和to become a translator是并列的,即
无论你学习英语是为了学术目的,还是想成为一个翻译家,(找到一个好的学习方法是非常重要的.)
所以,在such as举例中,studying和preparing是动名词短语,而不是句子中真正的动词.
而跟or后面to become相对应的是for academic purpose.

这个你确定没有错误？ as 后接to 跟这个意思不符啊 不能这么用吧

studying at the university 和 preparing for a test 都是 academic purpose 的补语。
放到原句中也就是：
whether you are learning English for studying ai university or preparing for a test or tobecome a translator
to 在这里表示将来