Find domain of `f(x) = log_5(log_4(log_3(log_2 x))) `

Explanation

To find the domain of the function \( f(x) = \log_5(\log_4(\log_3(\log_2 x))) \), we need to ensure that each logarithmic function is defined and greater than zero, as logarithms are only defined for positive arguments.

### Step-by-step Solution:

1. **Start from the innermost function**:
We begin with the innermost logarithm, \( \log_2 x \). For this logarithm to be defined, we need:
\[
x > 0
...