1. **Stating the problem:** Solve the equation $\log 2 = \log x$ for $x$. 2. **Formula and rule:** If $\log a = \log b$, then $a = b$ because the logarithm function is one-to-one. 3. **Apply the rule:** From $\log 2 = \log x$, we get $2 = x$. 4. **Conclusion:** The solution is $x = 2$.