Are you sure the answer is correct? Anyway, I will show you my method and you compare it.
You arrive at the answer,
This may be wrong.
I was doing practice exams and I got stuck on this question?
Solve for x in the equation: 2a^x = b^(x+1)
I tried it over and over and still can't get x by itself, how do you do this question? It's on the no calculator section.
The answer's x = (log2 - log b) / (log b - log a)
If it helps.