# Math Help - looking for the solution

1. ## looking for the solution

Hi there...
Almost a week now i'm trying to solve the following equation:
${\frac{1}{x*log{_2}x}+\frac{r}{x}=a}$
I always end up to ${x^{(x-c)}}=2^{(\frac{1}{a})}$ where "c" is equal to ${c=\frac{r}{a}}$ and both $r,a>0$

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??

2. not that this helps too much, but mathematica isn't returning an answer for me

3. Originally Posted by artvandalay11
not that this helps too much, but mathematica isn't returning an answer for me

I don't know what else to do. I found only Lambert W function which is not applied in this case. anyway thanks for your attention