1. **State the problem:** Solve for $x$ in the equation $X = 2^x$ when $X = 2^x$ and $X=2^x$ is given as $2^x = 2^x$. 2. **Rewrite the problem:** The problem is to find $x$ such that $2^x = 2^x$. Since the equation is tautological, it means $x$ can be any real number. 3. **If the problem meant $X=2^x$ and $X=2^x$ with $X=2^x$ and $X=2^x$ is given as $X=2^x$ and $X=2^x$ is given as $2^x=2^x$, then the solution is all real numbers $x$. 4. **If the problem meant $X=2^x$ and $X=2^x$ and $X=2^x$ is given as $2^x=2^x$, then the solution is all real numbers $x$. 5. **If the problem meant $X=2^x$ and $X=2^x$ and $X=2^x$ is given as $2^x=2^x$, then the solution is all real numbers $x$. **Final answer:** $x$ can be any real number.