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\section{Logarithms}
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\section{Logarithms}
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\definition{}<logdef>
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The \textit{logarithm} is the inverse of the exponent. That is, if $b^p = c$, then $\log_b{c} = p$. \\
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In other words, $\log_b{c}$ asks the question ``what power do I need to raise $b$ to to get $c$?'' \\
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\problem{}
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\problem{}
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Evaluate the following by hand:
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Evaluate the following by hand:
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@ -35,9 +39,9 @@ Prove the following:
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\begin{instructornote}
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\begin{instructornote}
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A good intro to the following sections is the linear slide rule:
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A good intro to the following sections is the linear slide rule:
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\note{Note that these rules start at 0.}
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\note{(note that these rules start at 0)}
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\begin{center}
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\begin{center}
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\begin{tikzpicture}[scale=0.6]
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\begin{tikzpicture}[scale=0.5]
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\linearscale{2}{1}{}
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\linearscale{2}{1}{}
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\linearscale{0}{0}{}
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\linearscale{0}{0}{}
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@ -53,7 +57,7 @@ Prove the following:
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\linehack{}
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\linehack{}
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After assembling the paper slide rule, you can make a visor with some transparent tape. Wrap a strip around the slide rule, sticky side out, and stick it to itself to form a ring. Cover the sticky side with another layer of tape, and trim the edges to make them straight. Use the edge of the visor to read your slide rule!
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After assembling the paper slide rule, you can make a visor with some transparent tape.
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\end{instructornote}
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\end{instructornote}
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\pagebreak
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\pagebreak
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