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		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?action=history&amp;feed=atom&amp;title=Solution_3.3%3A4a</id>
		<title>Solution 3.3:4a - Revision history</title>
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		<updated>2026-04-08T10:18:08Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=5752&amp;oldid=prev</id>
		<title>Tek at 07:07, 2 October 2008</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=5752&amp;oldid=prev"/>
				<updated>2008-10-02T07:07:22Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
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			&lt;col class='diff-content' /&gt;
			&lt;tr&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 07:07, 2 October 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Individually, the terms are difficult to calculate, but the two logarithms can be lumped together using the logarithm law, &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Individually, the terms are difficult to calculate, but the two logarithms can be lumped together using the logarithm law, &amp;lt;math&amp;gt;\log a - \log b = \log\frac{a}{b}\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;&amp;lt;/math&amp;gt;,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;text{&lt;/del&gt;log &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;a-\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;text{ &lt;/del&gt;log &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;b=\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;text{&lt;/del&gt;log&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}\left( &lt;/del&gt;\frac{a}{b} \&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;right)&lt;/del&gt;&amp;lt;/math&amp;gt;,&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{{Displayed math||&lt;/ins&gt;&amp;lt;math&amp;gt;\lg 50 - \lg 5 = \lg\frac{50}{5} = \lg 10 = 1&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\,\textrm{&lt;/ins&gt;.&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt;&amp;lt;/math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\lg 50-\lg 5=\lg \frac{50}{5}=\lg 10=1.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tek</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=5498&amp;oldid=prev</id>
		<title>Ian at 14:46, 25 September 2008</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=5498&amp;oldid=prev"/>
				<updated>2008-09-25T14:46:25Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 14:46, 25 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;NAVCONTENT_START&lt;/del&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Individually, the terms are difficult to calculate, but the two logarithms can be lumped together using the logarithm law, &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;center&amp;gt; [[Image:3_3_4a.gif]] &lt;/del&gt;&amp;lt;/&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;center&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\text&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;log }a-\text&lt;/ins&gt;{ &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;log &lt;/ins&gt;}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;b=\text{log&lt;/ins&gt;}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\left( \frac{a}{b} \right)&lt;/ins&gt;&amp;lt;/&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;NAVCONTENT_STOP}&lt;/del&gt;}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\lg 50-\lg 5=\lg \frac&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;50}&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/ins&gt;}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;=\lg 10=1.&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ian</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=3603&amp;oldid=prev</id>
		<title>Tekbot: Lösning 3.3:4a moved to Solution 3.3:4a: Robot: moved page</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=3603&amp;oldid=prev"/>
				<updated>2008-09-09T09:26:03Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=L%C3%B6sning_3.3:4a&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Lösning 3.3:4a&quot;&gt;Lösning 3.3:4a&lt;/a&gt; moved to &lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php/Solution_3.3:4a&quot; title=&quot;Solution 3.3:4a&quot;&gt;Solution 3.3:4a&lt;/a&gt;: Robot: moved page&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
			&lt;col class='diff-content' /&gt;
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			&lt;col class='diff-content' /&gt;
			&lt;tr&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 09:26, 9 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=2367&amp;oldid=prev</id>
		<title>Tekbot: Robot: Automated text replacement  (-[[Bild: +[[Image:)</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=2367&amp;oldid=prev"/>
				<updated>2008-08-21T07:00:09Z</updated>
		
		<summary type="html">&lt;p&gt;Robot: Automated text replacement  (-[[Bild: +[[Image:)&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 07:00, 21 August 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Bild&lt;/del&gt;:3_3_4a.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Image&lt;/ins&gt;:3_3_4a.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tekbot</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_3.3:4a&amp;diff=1043&amp;oldid=prev</id>
		<title>Oskar: Ny sida: {{NAVCONTENT_START}} &lt;center&gt; Bild:3_3_4a.gif &lt;/center&gt; {{NAVCONTENT_STOP}}</title>
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				<updated>2008-04-02T09:49:12Z</updated>
		
		<summary type="html">&lt;p&gt;Ny sida: {{NAVCONTENT_START}} &amp;lt;center&amp;gt; &lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Bild:3_3_4a.gif&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Bild:3 3 4a.gif&quot;&gt;Bild:3_3_4a.gif&lt;/a&gt; &amp;lt;/center&amp;gt; {{NAVCONTENT_STOP}}&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;br /&gt;
&amp;lt;center&amp;gt; [[Bild:3_3_4a.gif]] &amp;lt;/center&amp;gt;&lt;br /&gt;
{{NAVCONTENT_STOP}}&lt;/div&gt;</summary>
		<author><name>Oskar</name></author>	</entry>

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