\documentclass[12pt]{book}
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}
\begin{semilogyaxis}[ytick=\empty]
\addplot[mark=square*,blue]
coordinates{(1, 1)(2, 5)(3, 20)};
\end{semilogyaxis}
\end{tikzpicture}
\end{document}

