document.write( "Question 2172: please please please what is \r
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document.write( "logx81=4 \n" );
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Algebra.Com's Answer #861 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Use loga b = 1/logb a,we have \n" ); document.write( "logx 81= 4 converts to \n" ); document.write( " 1/log81 x = 4, \n" ); document.write( " or log81 x = 1/4, \n" ); document.write( " Hence, x = (81)^1/4 by definition of logarithm. \n" ); document.write( " So, x = (81)^1/4 = (3^4)^(1/4) = 3^1 = 3.\r \n" ); document.write( "\n" ); document.write( " Or use logx 81= log 81/log x = 4, (common logarithm:base 10) \n" ); document.write( " So,log x = (log 81)/4, \n" ); document.write( " x = 10^((log 81)/4) = 10^((log 3^4)/4) = 10^(4(log 3)/4) \n" ); document.write( " = 10^(log 3) = 3\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |