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      <title>BTEC L3 Logarithms by Savannha Gunnell</title>
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      <pubDate>2025-06-23 11:44:41 UTC</pubDate>
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      <item>
         <title>Welcome!</title>
         <author>savannhagunnell1</author>
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         <description><![CDATA[<p>Before you start this part, I hope you have completed all the work associated with Indices, as this section might be a bit tricky without it!</p>]]></description>
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         <title>Logarithm notes</title>
         <author>savannhagunnell1</author>
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         <title>Logs Video</title>
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         <pubDate>2025-06-23 11:44:41 UTC</pubDate>
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         <title>What are we talking about?</title>
         <author>savannhagunnell1</author>
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         <description><![CDATA[<p>In its simplest form, a logarithm answers the question: <strong><em>How many of one number multiply together to make another number</em></strong>?</p><p><br></p><p>For example:</p><p>How many 2s multiply together to make 8?</p><p>Answer: <strong>2 × 2 × 2 = 8</strong>, so we had to multiply 3 of the <strong>2</strong>s to get <strong>8</strong></p><p>So the logarithm is <strong>3</strong></p><p><br></p><p>We write it like this:</p><p>log<sub>2</sub>(8) = 3</p><p><br></p><p>Notice we are dealing with three numbers:</p><ul><li><p>the <strong>base</strong>: the number we are multiplying (a "2" in the example above)</p></li><li><p>how often to use it in a multiplication (3 times, which is the <strong>logarithm</strong>)</p></li><li><p>The number we want to get (an "8")<strong><br></strong></p></li></ul>]]></description>
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         <title></title>
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         <title>Laws of Logs</title>
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         <pubDate>2025-06-23 12:51:12 UTC</pubDate>
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         <title>Worked Example 1</title>
         <author>savannhagunnell1</author>
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         <pubDate>2025-06-23 12:53:08 UTC</pubDate>
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         <title>Worked Example 2</title>
         <author>savannhagunnell1</author>
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         <pubDate>2025-06-23 12:53:34 UTC</pubDate>
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         <title>Homework </title>
         <author>savannhagunnell1</author>
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         <description><![CDATA[<p>Transpose to the letter indicated on the RHS</p>]]></description>
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         <pubDate>2025-08-05 13:18:01 UTC</pubDate>
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         <title>Indicial Equations Notes</title>
         <author>savannhagunnell1</author>
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         <pubDate>2025-09-14 19:39:12 UTC</pubDate>
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         <title></title>
         <author>savannhagunnell1</author>
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