document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203483>Question 203483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve:<BR>\n" );
document.write( "log x^2= (log x)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153514 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(x^2) = (logx)^2,,,,remember loga^b=b*log a<BR>\n" );
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document.write( "2logx = logx * logx<BR>\n" );
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document.write( "2 logx -logx*logx =0<BR>\n" );
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document.write( "factor<BR>\n" );
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document.write( "If 2a-a^2=0,, we  would  factor,,,a(2-a)=0<BR>\n" );
document.write( "Then  we  would set,,a=0,,and  then  set (2-a) =0,,,to  solve  for  a<BR>\n" );
document.write( "Well,  let  a =  \"log x\",,  and  repeat  the  exercise.<BR>\n" );
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document.write( "log x(2-log x) = 0<BR>\n" );
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document.write( "log x = 0,,,,,x=1<BR>\n" );
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document.write( "2-log x =0,,,2= log x,,,,x=100<BR>\n" );
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document.write( "check,,,(x=1),,,log1^2 =(log1)^2,,0=0,,,ok<BR>\n" );
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document.write( "(x=100) log100^2 = (log100)^2,,,,4=4,,,,ok<BR>\n" );
document.write( " </SPAN>\n" );
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