\documentclass{scrartcl}
\usepackage{color}
\usepackage{multicol}
\usepackage[final]{graphicx}
\usepackage{pst-plot,pstricks}
	\input{pstplot-logarithmic-axes}
\begin{document}
	\psset{xunit=3cm,yunit=0.1cm}
	\begin{pspicture}(-3,-50)(3,20)
		\psgrid[xunit=0.5,yunit=10,subgriddiv=0,griddots=5,gridlabels=0](-4,-4)(4,1)
		\psaxes[log=x,Dx=5,Dy=10]{->}(-2,0)(-2,-40)(2.2,11)
		\psplot[plotstyle=curve]{-2}{2}{-20}
		\rput(2,3){$\omega$}
	\end{pspicture}
\end{document}