In a binomial distribution $B(n,p=1/4)$, if the probability of at least one success is greater than or equal to $9/10$, then $n$ is greater than:

1. A
   $\frac{1}{{\log }_{10}4-{\log }_{10}3}$
2. B
   $\frac{1}{{\log }_{10}4+{\log }_{10}3}$
3. C
   $\frac{9}{{\log }_{10}4-{\log }_{10}3}$
4. D
   $\frac{4}{{\log }_{10}4-{\log }_{10}3}$