I know the solution is no solution, but the value I got is what I am unsure of as I could have got a million different values for x that would result in no solution, but I'm not sure if the value that I got is correct. Once you hit the "no solution" button for the homework, it tells you if you're right or wrong and doesn't tell you the correct value of x.
The Attempt at a Solution
(v) x=negative so there is no solution
Step (iii) is where I'm questioning myself. I know that step (iv) results from (iii), but I can't seem to justify (iii) and how I just made the expressions exponents of the base e.