Problem
Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) \[ \begin{array}{l} e^{r+5}-5=-27 \\ r=\square \end{array} \]
Solution
Step 1 ：Add 5 to both sides of the equation to get \(e^{r+5} = -22\).
Step 2 ：However, the exponential function is always positive, so there is no solution to this equation.
Step 3 ：Final Answer: \(\boxed{\text{NO SOLUTION}}\)
