document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709009>Question 709009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I had a question about solving this log problem. I asked this a few hours so I'm assuming the person who took on this problem wasn't able to answer it. Thanks in advance. Here is the problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Use logarithms to solve the equation for x. [Hint: take logs of both sides and simplify]<BR>\n" );
document.write( "2^x=6\times 3^x\r<BR>\n" );
document.write( "\n" );
document.write( "x= ________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436355 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=436355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll take this part of the way through the solution steps.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You seem to ask to solve, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex=6%2A3%5Ex ALIGN=MIDDLE  ALT=\"2%5Ex=6%2A3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll use \"natural logs\" because it's less effort for the typesetting on this algebra.com system, less missing grouping symbols in the text needed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%5Ex%29=ln%286%29%2Bln%283%5Ex%29 ALIGN=MIDDLE  ALT=\"ln%282%5Ex%29=ln%286%29%2Bln%283%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xln%282%29=ln%286%29%2Bxln%283%29 ALIGN=MIDDLE  ALT=\"xln%282%29=ln%286%29%2Bxln%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-ln%286%29=xln%283%29-xln%282%29 ALIGN=MIDDLE  ALT=\"-ln%286%29=xln%283%29-xln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-ln%286%29=x%28ln%283%29-ln%282%29%29 ALIGN=MIDDLE  ALT=\"-ln%286%29=x%28ln%283%29-ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-ln%286%29%29%2F%28ln%283%29-ln%282%29%29=x ALIGN=MIDDLE  ALT=\"%28-ln%286%29%29%2F%28ln%283%29-ln%282%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and I stop here, so maybe you could finish.  This is an expression using only constants equal to the variable, x. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );