document.write( "Question 493430: I am in desperate need of help with a logarithm problem. It is as follows:\r
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document.write( "1/logbase2(x)+1/logbase3(x)+1/logbase4(x)+1/logbase6(x)=4\r
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document.write( "Solve for x.\r
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document.write( "Thank you so much for the help! \n" );
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Algebra.Com's Answer #335631 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 1/logbase2(x)+1/logbase3(x)+1/logbase4(x)+1/logbase6(x)=4 \n" ); document.write( "Solve for x. \n" ); document.write( "** \n" ); document.write( "convert to base 10 \n" ); document.write( "log(2)/log(x)+log(3)/log(x)+log(4)/log(x)+log(6)/log(x)=4 \n" ); document.write( "log[(2)+log(2)+log(2)+log(2)]/log(x)=4 \n" ); document.write( "log(2*3*4*6)/log(x)=4 \n" ); document.write( "log(144)=4log(x)=log(x^4) \n" ); document.write( "144=x^4 \n" ); document.write( "take 4th root of both sides \n" ); document.write( "x=(12^2)^1/4=√12=3.4641 \n" ); document.write( " |