https://matte3c.mathonline.se/index.php?action=history&feed=atom&title=1.5_L%C3%B6sning_5cc 2026-05-27T02:26:34Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://matte3c.mathonline.se/index.php?title=1.5_L%C3%B6sning_5cc&diff=36196&oldid=prev 2019-01-21T17:03:09Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 21 januari 2019 kl. 17.03</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&lt;math&gt;\begin{array}{rclcl}&#160; &#160; 3 \cdot 4^x + 3 \cdot 4^x + 3 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp; <del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </del>\\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&lt;math&gt;\begin{array}{rclcl}&#160; &#160; 3 \cdot 4^x + 3 \cdot 4^x + 3 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp; <ins class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </ins>\\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 9 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp; \qquad | &amp; /\,9 <del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; </del>\\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 9 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp; \qquad | &amp; /\,9 <ins class="diffchange diffchange-inline"> </ins>\\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; 36\,/\,9&#160; &#160; &amp; <del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </del>\\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; 36\,/\,9&#160; &#160; &amp; <ins class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </ins>\\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; 4&#160; &#160; &#160; &#160; &#160; &amp; <del class="diffchange diffchange-inline">\qquad | &amp; \sqrt{\,.\,} </del>\\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; 4&#160; &#160; &#160; &#160; &#160; &amp; <ins class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </ins>\\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; x&#160; &amp; = &amp; 1&#160; &#160; &#160; &#160; &#160; &amp;&#160; &#160; &#160; &#160; &#160; &amp; <del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; </del>\\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; x&#160; &amp; = &amp; 1&#160; &#160; &#160; &#160; &#160; &amp;&#160; &#160; &#160; &#160; &#160; &amp; <ins class="diffchange diffchange-inline">&#160; &#160; &#160; </ins>\\</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>\end{array}&lt;/math&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>\end{array}&lt;/math&gt;</div></td></tr> </table>

Taifun https://matte3c.mathonline.se/index.php?title=1.5_L%C3%B6sning_5cc&diff=36195&oldid=prev 2019-01-21T17:01:41Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 21 januari 2019 kl. 17.01</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt;\begin{array}{rclcl}&#160; &#160; 3 \cdot 4^x + 3 \cdot 4^x + 3 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; \\</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt;\begin{array}{rclcl}&#160; &#160; 3 \cdot 4^x + 3 \cdot 4^x + 3 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; \\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 9 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp; \qquad | &amp; /\,<del class="diffchange diffchange-inline">4 </del>&#160; &#160; &#160; &#160; \\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 9 \cdot 4^x&#160; &amp; = &amp; 36&#160; &#160; &#160; &#160; &#160; &amp; \qquad | &amp; /\,<ins class="diffchange diffchange-inline">9 </ins>&#160; &#160; &#160; &#160; \\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; 36\,/\,<del class="diffchange diffchange-inline">4 </del>&#160; &amp;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; \\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; 36\,/\,<ins class="diffchange diffchange-inline">9 </ins>&#160; &amp;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; \\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; <del class="diffchange diffchange-inline">9 </del>&#160; &#160; &#160; &#160; &#160; &amp; \qquad | &amp; \sqrt{\,.\,} \\</div></td><td class='diff-marker'>+</td><td style="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;"><div>&#160;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 4^x&#160; &amp; = &amp; <ins class="diffchange diffchange-inline">4 </ins>&#160; &#160; &#160; &#160; &#160; &amp; \qquad | &amp; \sqrt{\,.\,} \\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; \sqrt[3]{</del>x<del class="diffchange diffchange-inline">^3} </del>&amp; = &amp; <del class="diffchange diffchange-inline">\sqrt[3]{27} &amp;&#160; &#160; &#160; &#160; &#160; &amp;&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; \\</del></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </ins>x <ins class="diffchange diffchange-inline"> </ins>&amp; = &amp; <ins class="diffchange diffchange-inline">1&#160; &#160; &#160; &#160; &#160; </ins>&amp;&#160; &#160; &#160; &#160; &#160; &amp; <ins class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; </ins>\\</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; x &amp; = &amp; 3&#160; &#160; &#160; &#160; &#160; &#160; </del>&amp;&#160; &#160; &#160; &#160; &#160; &amp; <del class="diffchange diffchange-inline">&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; </del>\\</div></td><td class='diff-marker'>+</td><td style="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;"><div></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>\end{array}&lt;/math&gt;</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>\end{array}&lt;/math&gt;</div></td></tr> </table>

Taifun https://matte3c.mathonline.se/index.php?title=1.5_L%C3%B6sning_5cc&diff=36194&oldid=prev 2019-01-21T16:57:42Z

<p>Skapade sidan med &#039;&lt;math&gt;\begin{array}{rclcl} 3 \cdot 4^x + 3 \cdot 4^x + 3 \cdot 4^x &amp; = &amp; 36 &amp; \\...&#039;</p> <p><b>Ny sida</b></p><div>&lt;math&gt;\begin{array}{rclcl} 3 \cdot 4^x + 3 \cdot 4^x + 3 \cdot 4^x &amp; = &amp; 36 &amp; \\<br /> 9 \cdot 4^x &amp; = &amp; 36 &amp; \qquad | &amp; /\,4 \\<br /> 4^x &amp; = &amp; 36\,/\,4 &amp; \\<br /> 4^x &amp; = &amp; 9 &amp; \qquad | &amp; \sqrt{\,.\,} \\<br /> \sqrt[3]{x^3} &amp; = &amp; \sqrt[3]{27} &amp; &amp; \\<br /> x &amp; = &amp; 3 &amp; &amp; \\<br /> \end{array}&lt;/math&gt;</div>

Taifun