\begin{frame}
  \frametitle{Logarithmic Functions}
  
  \begin{block}{}
    The \emph{logarithmic functions} 
    \begin{talign}
      f(x) = \log_a x
    \end{talign}
    where $a > 0$ and $a \ne 1$.
  \end{block}
  \medskip\pause
  
  The function $\log_a x$ is the inverse of the exponential function $a^x$:
  \begin{talign}
    \log_a y = x \;\;\iff\;\; a^x = y 
  \end{talign}
  \pause\vspace{-2ex}
  
  \begin{exampleblock}{}
    The logarithm $\log_a b$ gives us the exponent for $a$ to get $b$.
    \pause\medskip
    
    For example: $\log_{10} 0.001 = -3$ since $10^{-3} = 0.001$.
  \end{exampleblock} 
  \pause\medskip
  
  The logarithmic functions $\log_a x$ have:
  \begin{itemize}
    \item domain = \pause $(0,\infty)$\pause
    \item range = \pause $\mathbb{R}$
  \end{itemize}
\end{frame}