document.write( "Question 131451: I cannot figure out how to rewrite this logarithm as one simplified logarithm\r
\n" ); document.write( "\n" ); document.write( "log(6x)+5log(3x)-3log(9x)\r
\n" ); document.write( "\n" ); document.write( "Please help. \r
\n" ); document.write( "\n" ); document.write( "xandra
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Algebra.Com's Answer #96011 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
I cannot figure out how to rewrite this logarithm as one simplified logarithm
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document.write( "\"log%28%286x%29%29%2B5log%28%283x%29%29-3log%28%289x%29%29\"\r\n" );
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document.write( "Use a rule of logs to write the coefficients as exponents:\r\n" );
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document.write( "\"log%28%286x%29%29%2Blog%28%283x%29%5E5%29-log%28%289x%29%5E3%29\"\r\n" );
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document.write( "Use a law of exponents to remove the inner parenthesesL:\r\n" );
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document.write( "\"log%28%286x%29%29%2Blog%28%283%5E5x%5E5%29%29-log%28%289%5E3x%5E3%29%29\"\r\n" );
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document.write( "Use a rule of logs on the first two terms:\r\n" );
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document.write( "\"log%28%286x%2A3%5E5%2Ax%5E5%29%29-log%28%289%5E3x%5E3%29%29\"\r\n" );
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document.write( "Write \"6\" as \"2%2A3\" and \"9\" as \"3%5E2\"\r\n" );
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document.write( "\"log%28%282%2A3%2Ax%2A3%5E5%2Ax%5E5%29%29-log%28%28%283%5E2%29%5E3x%5E3%29%29\"\r\n" );
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document.write( "Add exponents of 3 and x in the first term and multiply\r\n" );
document.write( "exponents in the second term:\r\n" );
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document.write( "\"+log%28%282%2A3%5E6%2Ax%5E6%29%29-log%28%283%5E6x%5E3%29%29\"\r\n" );
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document.write( "Use a rule of logs:\r\n" );
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document.write( "\"log%28%28+%282%2A3%5E6%2Ax%5E6%29%2F%283%5E6x%5E3%29++%29+++++%29\"\r\n" );
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document.write( " Cancel the \"3%5E6\"'s\r\n" );
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document.write( "\"log%28%28+%282%2Across%283%5E6%29%2Ax%5E6%29%2F%28cross%283%5E6%29x%5E3%29++%29+++++%29\"\r\n" );
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document.write( "\"log%28%28+%282%2Ax%5E6%29%2F%28x%5E3%29++%29+++++%29\"\r\n" );
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document.write( "Subtract the exponents of the x's\r\n" );
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document.write( "\"log%28+%282x%5E3%29++%29+++++\"\r\n" );
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document.write( "Edwin
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