document.write( "Question 890344: Confused. Help.
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document.write( "Use the change-of-base rule to express log[3]12 in terms of common logarithms, in terms of natural logarithms, and correct to four decimal places. \n" );
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Algebra.Com's Answer #538923 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! the change of base logarithm rule is \n" ); document.write( "log (base a) of x = log (base b) of x / log (base b) of a \n" ); document.write( "1. common logarithms ( this is base 10) \n" ); document.write( "log base 3 of 12 = log (base 10) of 12 / log (base 10) of 3 = 1.079181246 / 0.47712125472 = 2.261859507 = 2.2619 \n" ); document.write( "2. natural logarithm ( this is base e) \n" ); document.write( "log base 3 of 12 = log (base e) of 12 / log (base e) of 3 = 2.4849066498 / 1.0986122887 = 2.261859507 = 2.2619 \n" ); document.write( " \n" ); document.write( " |