document.write( "Question 715540: contract the expressions. that is, use the properties of logarithms to write each expression coefficient of 1.\r
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document.write( "Ln 3 - 2 ln(6+9)\r
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document.write( "how do i work out this problem? \n" );
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Algebra.Com's Answer #439469 by DrBeeee(684) ![]() You can put this solution on YOUR website! Given: (1) ln(3) - 2*ln(6+9) or \n" ); document.write( "(2) ln(3) - 2*ln(15) or \n" ); document.write( "using 2*ln(x) = ln(x)^2 we get \n" ); document.write( "(3) ln(3) - ln(15)^2 or \n" ); document.write( "(4) ln(3) - ln(225) or \n" ); document.write( "using ln(a) - ln(b) = ln(a/b) we get \n" ); document.write( "(5) ln(3/225) or \n" ); document.write( "(6) ln(1/75) or \n" ); document.write( "(7) ln(1) - ln(75) or \n" ); document.write( "(8) 0 - ln(75) or \n" ); document.write( "(9) -ln(75) \n" ); document.write( "Answer: (1) evaluates to -ln(75) = -4.317... \n" ); document.write( " \n" ); document.write( " |