document.write( "Question 401957: can you solve this:
\n" ); document.write( "1/2 log2 x squared = log4 4x
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Algebra.Com's Answer #284794 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1/2 log2 x squared = log4 4x
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\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
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