If the solution curve of the differential equation (y-2 log_e x) d x+(x log_e x^2) d y=0, x>1 passes through the points (e, 4/3) and (e^4, α), then α…

If the solution curve of the differential equation $\displaystyle \left(y-2 \log _e x\right) d x+\left(x \log _e x^2\right) d y=0, x>1$ passes through the points $\displaystyle \left(e, \frac{4}{3}\right)$ and $\displaystyle \left(e^4, \alpha\right)$, then $\displaystyle \alpha$ is equal to $\displaystyle \_\_\_\_$.