This is ambigious : where should the power (^5.19) be put ? Just on the bottom part of the fraction or on the whole fraction ? And does it really have to be that twisted ? Please make the effort of presenting the question in such a way that it is relatively easy and convenient to best answer the actual question.
I'd like to make you realize how hard what you are asking could be : the variable to isolate (N) is :
- in a log, along with an addition (+1)
- outside a log along with a real power (5.19)
It might even not be possible to make N the subject using algebra only.