In the English Vocabulary Profile:
at face value = C1 If you accept something at face value because of the way it first looks or seems, you do so without thinking carefully about it.
A search for the top 10 collocations in COCA:
1 TAKE 232
For example:
We cannot afford to take mythology at face value.
2 TAKEN 202
3 ACCEPT 59
4 ACCEPTED 48
5 TAKING 34
6 TOOK 33
7 WORDS 23
8 STATEMENT 19
9 ACCEPTING 17
10 CLAIMS 15