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		<id>https://matte1b.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=1.5_L%C3%B6sning_5c</id>
		<title>1.5 Lösning 5c - Versionshistorik</title>
		<link rel="self" type="application/atom+xml" href="https://matte1b.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=1.5_L%C3%B6sning_5c"/>
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		<updated>2026-08-21T18:17:06Z</updated>
		<subtitle>Versionshistorik för denna sida på wikin</subtitle>
		<generator>MediaWiki 1.23.1</generator>

	<entry>
		<id>https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5c&amp;diff=26681&amp;oldid=prev</id>
		<title>Taifun den 7 juli 2015 kl. 15.25</title>
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				<updated>2015-07-07T15:25:13Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 7 juli 2015 kl. 15.25&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;::&amp;lt;math&amp;gt; 0,0095 \, = \, 95 \cdot 10\,^{-4} \, = \, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\underline{&lt;/del&gt;9,5 \cdot 10\,^{-3&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;}&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;::&amp;lt;math&amp;gt; 0,0095 \, = \, 95 \cdot 10\,^{-4} \, = \, 9,5 \cdot 10\,^{-3} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5c&amp;diff=26678&amp;oldid=prev</id>
		<title>Taifun den 7 juli 2015 kl. 15.22</title>
		<link rel="alternate" type="text/html" href="https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5c&amp;diff=26678&amp;oldid=prev"/>
				<updated>2015-07-07T15:22:28Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Versionen från 7 juli 2015 kl. 15.22&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;::&amp;lt;math&amp;gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\begin{align} 8^{3\&lt;/del&gt;,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x+1} - 8^{3&lt;/del&gt;\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x} &amp;amp; &lt;/del&gt;= &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;448&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  \\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;::&amp;lt;math&amp;gt; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;0&lt;/ins&gt;,&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;0095 &lt;/ins&gt;\, = \, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;95 &lt;/ins&gt;\cdot &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;10&lt;/ins&gt;\,^{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;-4&lt;/ins&gt;} \, = \, \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;underline&lt;/ins&gt;{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;9&lt;/ins&gt;,&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;5 &lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;cdot 10&lt;/ins&gt;\,^{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;-&lt;/ins&gt;3}}&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; 8^{3&lt;/del&gt;\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x} &lt;/del&gt;\cdot &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;8^1 - 8^{3&lt;/del&gt;\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x} &amp;amp; = 448&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  \\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; 8&lt;/del&gt;^{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;3\,x&lt;/del&gt;} &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\cdot (8 - 1)&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;amp; = 448&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  \\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  8^{3&lt;/del&gt;\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x} \cdot 7 &amp;amp; &lt;/del&gt;= &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;448&amp;#160; \qquad \; | \; /&lt;/del&gt;\, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;7 &lt;/del&gt;\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  8^&lt;/del&gt;{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;3\&lt;/del&gt;,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x} &amp;amp; = 448 / 7&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  &lt;/del&gt;\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  8^{3&lt;/del&gt;\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x} &amp;amp; = 64&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; \\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  8&lt;/del&gt;^{3&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\,x&lt;/del&gt;} &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;amp; = 8^2&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  \\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  3\,x &amp;amp; = 2&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160;  \\&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; &amp;#160; x &amp;amp; = {2 \over 3}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;#160; &amp;#160; &amp;#160; &amp;#160; \end{align&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;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	<entry>
		<id>https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5c&amp;diff=3087&amp;oldid=prev</id>
		<title>Taifun den 10 mars 2011 kl. 14.00</title>
		<link rel="alternate" type="text/html" href="https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5c&amp;diff=3087&amp;oldid=prev"/>
				<updated>2011-03-10T14:00:14Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;::&amp;lt;math&amp;gt;\begin{align} 8^{3\,x+1} - 8^{3\,x} &amp;amp; = 448                       \\&lt;br /&gt;
              8^{3\,x} \cdot 8^1 - 8^{3\,x} &amp;amp; = 448                       \\&lt;br /&gt;
              8^{3\,x} \cdot (8 - 1)        &amp;amp; = 448                       \\&lt;br /&gt;
                           8^{3\,x} \cdot 7 &amp;amp; = 448  \qquad \; | \; /\, 7 \\&lt;br /&gt;
                                   8^{3\,x} &amp;amp; = 448 / 7                   \\&lt;br /&gt;
                                   8^{3\,x} &amp;amp; = 64                        \\&lt;br /&gt;
                                   8^{3\,x} &amp;amp; = 8^2                       \\&lt;br /&gt;
                                       3\,x &amp;amp; = 2                         \\&lt;br /&gt;
                                          x &amp;amp; = {2 \over 3}&lt;br /&gt;
        \end{align} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	</feed>