I want to solve this second order inhomogeneous ODE:

$$ x^2y''-3xy'+4y= \log x $$

I know this is a Cauchy-Euler ODE but i s there a way to solve it with powerseries approach? with
$$ y= \sum\_{n=0}^{ \infty} a\_n x^n , y'= \sum\_{n=1}^{ \infty}na\_n x^{n-1}, y''=\sum\_{n=2}^{ \infty} n(n-1)a\_n x^{n-2}$$

thanks for any help!