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LaTeX-examples/tikz/logarithmic-functions/logarithmic-functions.tex
2021-01-14 13:16:30 +01:00

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\documentclass[varwidth=false, border=2pt]{standalone}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{nicefrac}
\pgfplotsset{every axis legend/.append style={
at={(0,0)},
anchor=north east}}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
grid = major,
width=8cm,
height=8cm,
grid style={dashed, gray!30},
xmin= 0, % start the diagram at this x-coordinate
xmax=10, % end the diagram at this x-coordinate
ymin=-5, % start the diagram at this y-coordinate
ymax= 5, % end the diagram at this y-coordinate
xlabel=$x$,
ylabel=$y$,
legend cell align=left,
legend pos=south east,
legend style={draw=none},
tick align=outside,
enlargelimits=false]
% plot the function
\addplot[domain=0:10, red, ultra thick,samples=500] {log2(x)};
\addplot[domain=0:10, green!50!black,dashed,ultra thick,samples=500] {log2(0.5*x)};
\addplot[domain=0:10, blue,dotted, ultra thick,samples=500] {log10(x)};
\legend{$\log_2(x)$,$\log_2(\nicefrac{x}{2})$,$\log_{10}(x)$}
\end{axis}
\end{tikzpicture}
\end{document}