Your answer tells me that you don’t actually understand antilogs.
This is ok, it is complicated stuff.
However; the answer to this is easy.
It is a one with 37 zeros or:
10,000,000,000,000,000,000,000,000,000,000,000
I explain how to mentally calculate the first 21numbers here:
So for 37, just extrapolate.
However; again I think you want to know something else.
The antilog of a number is the base number to the power of the number.
So assuming base 10, the antilog of 37 is 10^{37}.
You now have the links how to calculate both log and antilogs.
You can apply this to calculate log 37 .
Hint: since 37 is prime, I would take the middle of log 36 and log 38.
Then use 36 = 6*6 and 38 = 19*2.