document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26295>Question 26295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP!!!<BR>\n" );
document.write( "If (log base 3 of x)(log base x of 2x)(log base 2x of y) = log base x of x2, find the value of y.\r<BR>\n" );
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document.write( "Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14143 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=14143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to know the law log base b of a = [log a}/[log b]<BR>\n" );
document.write( "So, rewriting your problem you get:<BR>\n" );
document.write( "[log x]/[log 3]/[log x]/[log 2x]= [log x^2]/[log x]<BR>\n" );
document.write( "Denominators cancel with numerators to give the following:<BR>\n" );
document.write( "[log y]/[log 3]= [2log x]/[log x[<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "log base 3 of y = 2<BR>\n" );
document.write( "Therefore y=3^2=9<BR>\n" );
document.write( "y=9\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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