How to do this question on Binomial Theorem?

1+n log((2 b^(3/2)-1)/sqrt(b))+1/2 n^2 log^2((2 b^(3/2)-1)/sqrt(b))+1/6 n^3 log^3((2 b^(3/2)-1)/sqrt(b))+1/24 n^4 log^4((2 b^(3/2)-1)/sqrt(b))+1/120 n^5 log^5((2 b^(3/2)-1)/sqrt(b))+1/720 n^6 log^6((2 b^(3/2)-1)/sqrt(b))+O(n^7)