$\psi(x)=\sum\limits_{p^m\leq x}\log p$ ise gosteriniz: $x \rightarrow \infty$ iken $\psi(x) \sim x$

Question

$\psi(x)=\sum\limits_{p^m\leq x}\log p$ olmak uzere ($p$ asal, $m$ pozitif tamsayi). $x \rightarrow \infty$ iken $\psi(x) \sim x$ oldugunu gosteriniz