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) `1/((log)_(10)^4-(log)_(10)^3)` (2) `1/((log)_(10)^4+(log)_(10)^3)` (3) `9/((log)_(10)^4-(log)_(10)^3)` (4) `4/((log)_(10)^4-(log)_(10)^3)`

Explanation

To solve the problem, we need to find the value of \( n \) in a binomial distribution \( B(n, p = \frac{1}{4}) \) such that the probability of at least one success is greater than or equal to \( \frac{9}{10} \).

### Step-by-Step Solution:

1. **Understanding the Probability of At Least One Success**:
The probability of at least one success in a binomial distribution can be expressed as:
\[
P(X \geq 1) = 1 - P(X = 0)
...