document.write( "Question 401957: can you solve this:
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document.write( "1/2 log2 x squared = log4 4x \n" );
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Algebra.Com's Answer #284794 by lwsshak3(11628) ![]() You can put this solution on YOUR website! \n" ); document.write( "1/2 log2 x squared = log4 4x \n" ); document.write( ".. \n" ); document.write( "change to base 10 \n" ); document.write( "(1/2)logx^2/log2=log4x/log4 \n" ); document.write( "(1/2)2logx/log2=(log4+logx)/log4 \n" ); document.write( "logx/log2=(log4+logx)/log4 \n" ); document.write( "LCD=log2log4 \n" ); document.write( "log4logx=log2(log4+logx) \n" ); document.write( "log4logx=log2log4+log2logx \n" ); document.write( "log4logx-log2logx=log2log4 \n" ); document.write( "logx(log4-log2)=log2log4 \n" ); document.write( "logx=log2log4/(log4-log2) \n" ); document.write( "logx=.602 \n" ); document.write( "x=10^.602=3.999 \n" ); document.write( "or rounded,x=4\r \n" ); document.write( "\n" ); document.write( "Check:with x=4 \n" ); document.write( "1/2 log x^2/log2 \n" ); document.write( "1/2 log 16/log2=2 \n" ); document.write( "log4x/log4 \n" ); document.write( "log16/log4=2 \n" ); document.write( "left-hand side = right-hand side\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |