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<!DOCTYPE html>
<html data-require="math">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Operations with logarithms</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
<div class="exercise">
<div class="vars">
<var id="A">randRange(2,5)</var>
<var id="B">randRange(2,5)</var>
<var id="C">A*B</var>
<div class="problems">
<p class="problem">Rewrite the following in the form log(c).</p>
<p class="question"><code>\log(<var>A</var>) + \log(<var>B</var>)</code></p>
<p class="solution" data-forms="log"><var>C</var></p>
<div class="hints">
<p>Use the rule: <code>\log(a) + \log(b) = \log(a \cdot b)</code>.</p>
<p><code>\log(<var>A</var>) + \log(<var>B</var>) = \log(<var>A</var> \cdot <var>B</var>)</code></p>
<p><code>= \log(<var>C</var>)</code></p>
<p class="problem">Rewrite in the form log(c).</p>
<p class="question"><code>\log(<var>C</var>) - \log(<var>A</var>)</code></p>
<p class="solution" data-forms="log"><var>B</var></p>
<div class="hints">
<p>Use the rule: <code>\log(a) - \log(b) = \log(\frac{a}{b})</code>.</p>
<p><code>\log(<var>C</var>) - \log(<var>A</var>) = \log(\frac{<var>C</var>}{<var>A</var>})</code></p>
<p><code>= \log( <var>B</var> )</code></p>
<p class="problem">Rewrite in the form log(c).</p>
<p class="question"><code><var>A</var>\log(<var>B</var>)</code></p>
<p class="solution" data-forms="log"><var>pow( B, A )</var></p>
<div class="hints">
<p>Use the rule: <code>n \cdot \log(a) = \log(a^{n})</code>.</p>
<p><code><var>A</var>\log(<var>B</var>) = \log(<var>B</var>^{<var>A</var>})</code></p>
<p><code>= \log(<var>pow( B, A )</var>)</code>
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