document.write( "Question 150438: Plot the graph of the following function\r
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Algebra.Com's Answer #110405 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Table of Contents:
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Table\r
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\n" ); document.write( "\n" ); document.write( "In order to plot \"log%283%2C%28x%29%29\", we need to plot some points. To do that, we need to plug in some x values to get y values\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%28x%29%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%281%29%29\" Plug in \"x=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=0\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=1\", \"y=0\" which makes the point (1,0)\r
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\n" ); document.write( "\n" ); document.write( "Let's find another point\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%28x%29%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%282%29%29\" Plug in \"x=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=0.631\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=2\", \"y=0.631\" which makes the point (2,0.631)\r
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\n" ); document.write( "\n" ); document.write( "Let's find another point\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%28x%29%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%283%29%29\" Plug in \"x=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=3\", \"y=1\" which makes the point (3,1)\r
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\n" ); document.write( "\n" ); document.write( "Let's find another point\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%28x%29%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%284%29%29\" Plug in \"x=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1.262\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=4\", \"y=1.262\" which makes the point (4,1.262)\r
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\n" ); document.write( "\n" ); document.write( "Let's find another point\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%285%29%29\" Plug in \"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1.465\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=5\", \"y=1.465\" which makes the point (5,1.465)\r
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\n" ); document.write( "\n" ); document.write( "Let's find another point\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%286%29%29\" Plug in \"x=6\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1.631\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=6\", \"y=1.631\" which makes the point (6,1.631)\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%287%29%29\" Plug in \"x=7\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1.771\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=7\", \"y=1.771\" which makes the point (7,1.771)\r
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\n" ); document.write( "\n" ); document.write( "\"y=log%283%2C%288%29%29\" Plug in \"x=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=1.893\" Evaluate the right side with a calculator\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=8\", \"y=1.893\" which makes the point (8,1.893)\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=9\", \"y=2\" which makes the point (9,2)\r
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\n" ); document.write( "\n" ); document.write( "Now let's make a table of the values we just found.\r
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Jump to Top of Page\r
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Table of Values:

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xy
10
20.631
31
41.262
51.465
61.631
71.771
81.893
92
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Jump to Top of Page\r
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Graph:

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\n" ); document.write( "\n" ); document.write( " Graph of \"y=log%283%2C%28x%29%29\"
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