Use a graphing utility to solve the equation In \( x=x^{2}-4 \) The solution set is \( \{0.02,2.19\} \) (Use a comma to separate answers as needed Round to two decimal places as needed.)

To solve the equation \( \ln x = x^2 - 4 \) using a graphing utility, you would plot the two functions \( y = \ln x \) and \( y = x^2 - 4 \) on the same set of axes. The points where the two curves intersect represent the solutions to the equation. After plotting, you'll find these intersections occur at approximately \( x \approx 0.02 \) and \( x \approx 2.19 \). Therefore, the solution set is \( \{0.02, 2.19\} \). Don't forget to check the domain constraints of the functions involved; the natural logarithm requires \( x > 0 \), which confirms that both solutions are valid.