Hi there...

Almost a week now i'm trying to solve the following equation:

$\displaystyle {\frac{1}{x*log{_2}x}+\frac{r}{x}=a}$

I always end up to $\displaystyle {x^{(x-c)}}=2^{(\frac{1}{a})}$ where "c" is equal to $\displaystyle {c=\frac{r}{a}}$ and both $\displaystyle r,a>0$

in the result i end Lambert W cannot be used because the base and the power are different.

Has anybody any idea how could i solve it??