\begin{frame}
  \frametitle{Logarithmic Functions}
  
  \begin{minipage}{.49\textwidth}
  \begin{center}
  \scalebox{.7}{
  \begin{tikzpicture}[default,baseline=0cm]
    \diagram{-3}{3}{-3}{3}{1}
    \diagramannotatez
    \begin{scope}[ultra thick]
    \draw[dashed,cred] (-3,-3) -- (3,3);
    
    \draw[cgreen,name path=curve] plot[smooth,domain=-3:1.6,samples=300] (\x,{pow(2,\x)}) node[above] {$2^x$};
    \draw[cblue,name path=curve] plot[smooth,domain=.12:3,samples=300] (\x,{log2(\x)}) node[above] {$\log_2 x$};
    \end{scope}
  \end{tikzpicture}
  }
  \end{center}    
  \end{minipage}
  \begin{minipage}{.49\textwidth}
  \begin{center}
  \scalebox{.7}{
  \begin{tikzpicture}[default,baseline=0cm]
    \diagram{-1}{5}{-3}{3}{1}
    \diagramannotatez
    \begin{scope}[ultra thick]
    \draw[cblue,name path=curve] plot[smooth,domain=.12:5,samples=300] (\x,{log2(\x)}) node[above] {$\log_2 x$};
    \draw[cred,name path=curve] plot[smooth,domain=.035:5,samples=300] (\x,{log2(\x)/log2(3)}) node[above] {$\log_3 x$};
    \draw[cgreen,name path=curve] plot[smooth,domain=.001:5,samples=300] (\x,{log2(\x)/log2(10)}) node[above] {$\log_{10} x$};
    \end{scope}
  \end{tikzpicture}
  }
  \end{center}    
  \end{minipage}
  \pause\bigskip
  
  For $a > 1$, $f(x) = a^x$ grows very fast.
  \pause\medskip
  
  As a consequence:
  \begin{block}{}
  For $a > 1$, $f(x) = \log_a x$ grows very slow.
  \end{block}
\end{frame}