Final answer:
The equation provided is incomplete or contains a typo, and cannot be solved as written. A correct exponential equation is needed to proceed with finding the solution using mathematical methods such as logarithms or algebraic operations.
Step-by-step explanation:
The provided equation appears to be incomplete or miswritten, as it stands as 4 ⁻²ˣ⁻³x which is not a standard equation form and cannot be solved as is. It seems that there might be a typo in the equation. In order to find the solution of the exponential equation, a proper exponential equation is needed, such as 4x = y or 2x + 3x = z. In these cases, various methods such as logarithms, or for simpler cases, basic algebraic operations, would be applied to solve for the variable x. However, without the correct equation, we cannot proceed to find the solution. If the student can provide the correct equation, I would be happy to guide them through the steps to find the solution using the appropriate mathematical methods.