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\Huge{
Logarithmic Properties}
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\noindent
While working in a group make sure you:
\begin{packed_itemize}
\item Expect to make mistakes but be sure to reflect/learn from them!
\item Are civil and are aware of your impact on others.
\item Assume and engage with the strongest argument while assuming best intent.
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\begin{enumerate}

\item Find the value $t$ in the following by writing logarithmic equations as exponential equations or vice versa.
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\item $2=e^{-.02t}$
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\item $\log_2(t+2)=5$
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\item $\log(10^4)=t$
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\newpage
\item Write the expressions as a single logarithm:

$\ln(x)-\ln(y)+3\ln(z)$ \hspace{2in} $\frac{1}{3}\log (2x+1)-2\log(x^4-x^2-1)$
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\item Expand the expressions:

$\log_2(2x)$ \hspace{3in} $\displaystyle{\log \left(\frac{a\sqrt{c}}{b^4}\right)}$

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\end{enumerate}



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