Answer
$$x=-e^{\frac{9}{2}}$$
Work Step by Step
Using the rules of logarithms to solve the equation, we find:
$$4\ln \left(-x\right)=18 \\ \ln \left(-x\right)=\frac{9}{2} \\ x=-e^{\frac{9}{2}}$$
Checking for extraneous solutions, we see that the solution is valid.
