1. **State the problem:** Find the value of $x$ such that $\ln x + \log x = ?$ but the equation is incomplete. Assuming the problem is to solve $\ln x + \log x = 0$ for $x$. 2. **Recall the definitions:** - $\ln x$ is the natural logarithm (base $e$). - $\log x$ usually means logarithm base 10. 3. **Write the equation:** $$\ln x + \log x = 0$$ 4. **Convert $\log x$ to natural logarithm:** $$\log x = \frac{\ln x}{\ln 10}$$ 5. **Substitute:** $$\ln x + \frac{\ln x}{\ln 10} = 0$$ 6. **Factor out $\ln x$:** $$\ln x \left(1 + \frac{1}{\ln 10}\right) = 0$$ 7. **Simplify the factor:** $$1 + \frac{1}{\ln 10} = \frac{\ln 10 + 1}{\ln 10}$$ 8. **Equation becomes:** $$\ln x \cdot \frac{\ln 10 + 1}{\ln 10} = 0$$ 9. **Since $\frac{\ln 10 + 1}{\ln 10} \neq 0$, we have:** $$\ln x = 0$$ 10. **Solve for $x$:** $$x = e^0 = 1$$ **Final answer:** $$x = 1$$