Draw the graph of `f(x) = [log_(e)x], e^(-2) lt x lt 10`, where `[*]` represents the greatest integer function.

Explanation

To draw the graph of the function \( f(x) = [\log_e x] \) for \( e^{-2} < x < 10 \), where \([\cdot]\) represents the greatest integer function, we will follow these steps:

### Step 1: Determine the range of \( f(x) \)

First, we need to find the values of \( \log_e x \) at the endpoints of the interval \( e^{-2} < x < 10 \).

- For \( x = e^{-2} \):
\[
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