<?xml version="1.0"?>
<?xml-stylesheet type="text/css" href="https://matte1b.mathonline.se/skins/common/feed.css?303"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="sv">
		<id>https://matte1b.mathonline.se/index.php?action=history&amp;feed=atom&amp;title=1.5_L%C3%B6sning_5a</id>
		<title>1.5 Lösning 5a - 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_5a"/>
		<link rel="alternate" type="text/html" href="https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5a&amp;action=history"/>
		<updated>2026-08-21T18:16:55Z</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_5a&amp;diff=26674&amp;oldid=prev</id>
		<title>Taifun den 7 juli 2015 kl. 14.55</title>
		<link rel="alternate" type="text/html" href="https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5a&amp;diff=26674&amp;oldid=prev"/>
				<updated>2015-07-07T14:55:10Z</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. 14.55&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;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;:&lt;/del&gt;:&amp;lt;math&amp;gt; 56\,000\,000&amp;#160; \, = \, 56 \cdot 1\,000\,000 \, = \, 56 \cdot 10\,^6 \, = \, 5,6 \cdot 10\,^7 &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; 56\,000\,000&amp;#160; \, = \, 56 \cdot 1\,000\,000 \, = \, 56 \cdot 10\,^6 \, = \, 5,6 \cdot 10\,^7 &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_5a&amp;diff=26672&amp;oldid=prev</id>
		<title>Taifun den 7 juli 2015 kl. 14.48</title>
		<link rel="alternate" type="text/html" href="https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5a&amp;diff=26672&amp;oldid=prev"/>
				<updated>2015-07-07T14:48:26Z</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. 14.48&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} (3^x + 3^{x+1}) &lt;/del&gt;\,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;/&lt;/del&gt;\, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;4\; &amp;amp; &lt;/del&gt;= \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; 9&amp;#160; \qquad \; | \; &lt;/del&gt;\cdot &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;4&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;56&lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;,000&lt;/ins&gt;\,&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;000&amp;#160; &lt;/ins&gt;\, = \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, 56 &lt;/ins&gt;\cdot 1\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;,000&lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;,000 &lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/ins&gt;= \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, 56 &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;^&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;6 &lt;/ins&gt;\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/ins&gt;= \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, 5,6 &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;,&lt;/ins&gt;^&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;7 &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;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; 3^x + 3^{x+&lt;/del&gt;1&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;} &amp;amp; = &lt;/del&gt;\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; 36&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; 3^x + 3^x \cdot 3^1 &amp;amp; &lt;/del&gt;= \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; 36&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; 3&lt;/del&gt;^&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x &lt;/del&gt;\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;cdot (1+3) &amp;amp; &lt;/del&gt;= \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; 36&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; 4 &lt;/del&gt;\cdot &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;3^x &amp;amp; = &lt;/del&gt;\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; 36&amp;#160; \qquad | \; / 4&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; &amp;#160; 3&lt;/del&gt;^&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x &amp;amp; = \;&amp;#160; 9&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; &amp;#160; 3^x &amp;amp; = \;&amp;#160; 3^2&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; &amp;#160; &amp;#160; &amp;#160; &amp;#160; x &amp;amp; = \;&amp;#160; 2&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_5a&amp;diff=3083&amp;oldid=prev</id>
		<title>Taifun den 10 mars 2011 kl. 13.32</title>
		<link rel="alternate" type="text/html" href="https://matte1b.mathonline.se/index.php?title=1.5_L%C3%B6sning_5a&amp;diff=3083&amp;oldid=prev"/>
				<updated>2011-03-10T13:32:31Z</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} (3^x + 3^{x+1}) \,/\, 4\; &amp;amp; = \; 9  \qquad \; | \; \cdot 4  \\&lt;br /&gt;
                                  3^x + 3^{x+1} &amp;amp; = \; 36                         \\&lt;br /&gt;
                            3^x + 3^x \cdot 3^1 &amp;amp; = \; 36                         \\&lt;br /&gt;
                                3^x \cdot (1+3) &amp;amp; = \; 36                         \\&lt;br /&gt;
                                    4 \cdot 3^x &amp;amp; = \; 36  \qquad | \; / 4        \\&lt;br /&gt;
                                            3^x &amp;amp; = \;  9                         \\&lt;br /&gt;
                                            3^x &amp;amp; = \;  3^2                       \\&lt;br /&gt;
                                              x &amp;amp; = \;  2&lt;br /&gt;
        \end{align} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Taifun</name></author>	</entry>

	</feed>