Add function graphs

tikz/logarithmic-functions/logarithmic-functions.tex

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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}