JEE Math Practice Question

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

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