Find the term independent of x in the expansion of `(2^(x) + 2^(-x)+log_(e)e^(x+2)))^(30)`.

Explanation

To find the term independent of \( x \) in the expansion of \( (2^x + 2^{-x} + \log_e e^{x+2})^{30} \), we can follow these steps:

### Step 1: Simplify the expression
We know that \( \log_e e^{x+2} = x + 2 \). Therefore, we can rewrite the expression as:
\[ (2^x + 2^{-x} + (x + 2))^{30} \]

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