Prove that `2^n > n`for all positive integers n.

Explanation

To prove that \( 2^n > n \) for all positive integers \( n \) using the principle of mathematical induction, we follow these steps:

### Step 1: Base Case
We start by checking the base case when \( n = 1 \).

\[ 2^1 = 2 > 1 \]
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