document.write( "Question 441990: Write each as the logarithm of a single quantity:\r
\n" ); document.write( "\n" ); document.write( "log3 4 +log3 2+log3 2\r
\n" ); document.write( "\n" ); document.write( "log 4+3 log x +log y\r
\n" ); document.write( "\n" ); document.write( "log 3 +1/2 log x -log 5\r
\n" ); document.write( "\n" ); document.write( "2 In x -In 3+In 6\r
\n" ); document.write( "\n" ); document.write( "3 log x +log 4 -log x -log6
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Algebra.Com's Answer #304939 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "There are three basic rules of logarithms:\r\n" );
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document.write( "#1. \"log%28B%2C%28A%29%29+%2B+log%28B%2C%28C%29%29+=+log%28B%2C%28AC%29%29\"\r\n" );
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document.write( "#2. \"log%28B%2C%28A%29%29+-+log%28B%2C%28C%29%29=+log%28B%2C%28A%2FC%29%29\"\r\n" );
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document.write( "#3. \"C%2Alog%28B%2C%28A%29%29+=+log%28B%2C%28A%5EC%29%29\"\r\n" );
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document.write( "In one place we will need this rule of exponents and roots\r\n" );
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document.write( "#4. \"A%5E%281%2F2%29+=+sqrt%28A%29\" \r\n" );
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document.write( "----------------------------------------------\r\n" );
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document.write( "\"log%283%2C4%29+%2Blog%283%2C2%29%2Blog%283%2C2%29\"\r\n" );
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document.write( "Use #1 on the first two terms:\r\n" );
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document.write( "\"log%283%2C4%2A2%29%2Blog%283%2C2%29\"\r\n" );
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document.write( "\"log%283%2C8%29%2Blog%283%2C2%29\"\r\n" );
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document.write( "Use #1 again\r\n" );
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document.write( "\"log%283%2C8%2A2%29\"\r\n" );
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document.write( "\"log%283%2C16%29\"\r\n" );
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document.write( "----------------------------------\r\n" );
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document.write( "\"log%284%29%2B3log%28x%29+%2Blog%28y%29\"\r\n" );
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document.write( "Use #3 on the middle term\r\n" );
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document.write( "\"log%284%29%2Blog%28x%5E3%29+%2Blog%28y%29\"\r\n" );
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document.write( "Use #1 on the first two terms:\r\n" );
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document.write( "\"log%284x%5E3%29+%2Blog%28y%29\"\r\n" );
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document.write( "Use #1 again\r\n" );
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document.write( "\"log%284x%5E3y%29\"\r\n" );
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document.write( "-------------------\r\n" );
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document.write( "\"log%283%29+%2Bexpr%281%2F2%29log%28x%29-log%285%29\"\r\n" );
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document.write( "Use #3 on the middle term\r\n" );
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document.write( "\"log%283%29+%2Blog%28x%5E%281%2F2%29%29-log%285%29\"\r\n" );
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document.write( "Use #4\r\n" );
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document.write( "\"log%283%29+%2Blog%28sqrt%28x%29%29-log%285%29\"\r\n" );
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document.write( "Use #1 on the first two terms:\r\n" );
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document.write( "\"log%283sqrt%28x%29%29-log%285%29\"\r\n" );
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document.write( "Use #2\r\n" );
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document.write( "\"log%283sqrt%28x%29%2F5%29\"\r\n" );
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document.write( "-----------------------------------\r\n" );
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document.write( "\"2ln%28x%29-ln%283%29%2Bln%286%29\"\r\n" );
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document.write( "Use #3 on the first term:\r\n" );
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document.write( "\"ln%28x%5E2%29-ln%283%29%2Bln%286%29\"\r\n" );
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document.write( "Use #2 on the first two terms:\r\n" );
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document.write( "\"ln%28x%5E2%2F3%29%2Bln%286%29\"\r\n" );
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document.write( "Use #1\r\n" );
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document.write( "\"ln%28%28x%5E2%2F3%29%286%29%29\"\r\n" );
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document.write( "\"ln%282x%5E2%29\"\r\n" );
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document.write( "---------------------------------\r\n" );
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document.write( "\"3log%28x%29%2Blog%284%29-log%28x%29-log%286%29\"\r\n" );
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document.write( "Use #3 on the first term:\r\n" );
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document.write( "\"log%28x%5E3%29%2Blog%284%29-log%28x%29-log%286%29\"\r\n" );
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document.write( "Factor -1 out of the last two terms:\r\n" );
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document.write( "\"log%28x%5E3%29%2Blog%284%29-%28log%28x%29%2Blog%286%29%29\"\r\n" );
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document.write( "Use #1 on the first two terms:\r\n" );
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document.write( "\"log%284x%5E3%29-%28log%28x%29%2Blog%286%29%29\"\r\n" );
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document.write( "Use #1 on the two terms in the parentheses:\r\n" );
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document.write( "\"log%284x%5E3%29-%28log%286x%29%29\"\r\n" );
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document.write( "\"log%284x%5E3%29-log%286x%29\"\r\n" );
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document.write( "Use #2\r\n" );
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document.write( "\"log%28%284x%5E3%29%2F%286x%29%29\"\r\n" );
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document.write( "\"log%28%282x%5E2%29%2F%283%29%29\"\r\n" );
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document.write( "Edwin

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