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	<title>Comments on: Graphs of logarithmic functions</title>
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	<link>http://www.craigsmaths.com/ea003-engineering-mathematics-b/graphs-of-logarithmic-functions/</link>
	<description>Mathematics Teaching for Learning</description>
	<pubDate>Thu, 29 Jul 2010 18:06:19 +0000</pubDate>
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		<title>By: Dann</title>
		<link>http://www.craigsmaths.com/ea003-engineering-mathematics-b/graphs-of-logarithmic-functions/#comment-165</link>
		<dc:creator>Dann</dc:creator>
		<pubDate>Tue, 27 Oct 2009 10:57:30 +0000</pubDate>
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		<description>doesn't the 'b' only translate the graph up or down? since lnbx can be expressed as lnx + lnb where lnb is a constant</description>
		<content:encoded><![CDATA[<p>doesn&#8217;t the &#8216;b&#8217; only translate the graph up or down? since lnbx can be expressed as lnx + lnb where lnb is a constant</p>
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		<title>By: Craig Rose</title>
		<link>http://www.craigsmaths.com/ea003-engineering-mathematics-b/graphs-of-logarithmic-functions/#comment-9</link>
		<dc:creator>Craig Rose</dc:creator>
		<pubDate>Wed, 05 Nov 2008 09:51:03 +0000</pubDate>
		<guid isPermaLink="false">http://www.craigsmaths.com/?p=360#comment-9</guid>
		<description>The key feature that identifies the base from a sketch is the point where $$y=1$$.  For the simple log function (no transformations) this will be at $$x=the base$$.  As the log of the base is equal to 1.  In other words $$base^1=base$$.</description>
		<content:encoded><![CDATA[<p>The key feature that identifies the base from a sketch is the point where <img src="http://www.craigsmaths.com/wordpress/wp-content/cache/tex_6a267007228f9f654a0d28dec6932c31.png" align="absmiddle" class="tex" alt="y=1" />.  For the simple log function (no transformations) this will be at <img src="http://www.craigsmaths.com/wordpress/wp-content/cache/tex_825df149dad14782dc0e95d55ea97681.png" align="absmiddle" class="tex" alt="x=the base" />.  As the log of the base is equal to 1.  In other words <img src="http://www.craigsmaths.com/wordpress/wp-content/cache/tex_41c16618763d9f07b0d47debf8a5b6d9.png" align="absmiddle" class="tex" alt="base^1=base" />.</p>
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		<title>By: anon</title>
		<link>http://www.craigsmaths.com/ea003-engineering-mathematics-b/graphs-of-logarithmic-functions/#comment-7</link>
		<dc:creator>anon</dc:creator>
		<pubDate>Tue, 04 Nov 2008 07:15:47 +0000</pubDate>
		<guid isPermaLink="false">http://www.craigsmaths.com/?p=360#comment-7</guid>
		<description>thanks for the help
just wondering, what will graphs look like with different bases

e.g. log( base 2) x compared to log (base 3)x and log (base 4) x</description>
		<content:encoded><![CDATA[<p>thanks for the help<br />
just wondering, what will graphs look like with different bases</p>
<p>e.g. log( base 2) x compared to log (base 3)x and log (base 4) x</p>
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