document.write( "Question 211997: express as (all three) a sum, difference and product of logarithms, without using exponents
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Algebra.Com's Answer #160113 by Edwin McCravy(20059)\"\" \"About 
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express as (all three) a sum, difference and product of logarithms, without using exponents
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document.write( "The 3 manipulative rules of logarithms which you need are\r\n" );
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document.write( "(a)    \"log%28B%2CAC%29=log%28B%2CA%29%2Blog%28B%2CC%29\"\r\n" );
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document.write( "(b)    \"log%28B%2CA%2FC%29=log%28B%2CA%29-log%28B%2CC%29\"\r\n" );
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document.write( "(c)    \"log%28B%2CA%5EC%29=C%2Alog%28B%2CA%29\"\r\n" );
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document.write( "You will also need the rule\r\n" );
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document.write( "(d)    \"sqrt%28A%29=A%5E%281%2F2%29\"\r\n" );
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document.write( "\"log%28b%2Csqrt%28x%5E3y%5E2%2Fz%5E9%29%29\"\r\n" );
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document.write( "First we use rule (d) and rewrite the above as\r\n" );
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document.write( "\"log%28b%2C%28x%5E3y%5E2%2Fz%5E9%29%5E%281%2F2%29%29\" \r\n" );
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document.write( "Next we use rule (c)\r\n" );
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document.write( "\"%281%2F2%29log%28b%2C%28x%5E3y%5E2%2Fz%5E9%29%29\"\r\n" );
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document.write( "Next we use rule (b)\r\n" );
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document.write( "\"%281%2F2%29%28log%28b%2Cx%5E3y%5E2%29-log%28b%2Cz%5E9%29%29\"\r\n" );
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document.write( "Next we use rule (a)\r\n" );
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document.write( "\"%281%2F2%29%28log%28b%2Cx%5E3%29%2Blog%28b%2Cy%5E2%29-log%28b%2Cz%5E9%29%29\"\r\n" );
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document.write( "Next we use rule (c) on all three terms in the\r\n" );
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document.write( "\"%281%2F2%29%283log%28b%2Cx%29%2B2log%28b%2Cy%29-9log%28b%2Cz%29%29\"\r\n" );
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document.write( "Distribute the \"%281%2F2%29\"\r\n" );
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document.write( "\"%283%2F2%29log%28b%2Cx%29%2Blog%28b%2Cy%29-%289%2F2%29log%28b%2Cz%29\"\r\n" );
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document.write( "Edwin
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