document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92211>Question 92211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20. Solve: 5^(2x-3) = 6^3x.  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67036 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=67036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve: 5^(2x-3) = 6^3x. <BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "(2x-3)log5 = 3xlog6<BR>\n" );
document.write( "Get the x terms together on one side:<BR>\n" );
document.write( "Solve: 5^(2x-3) = 6^3x. <BR>\n" );
document.write( "[2log5-3log6]x = 3log5<BR>\n" );
document.write( "x = 3log5/[2log5-3log6]<BR>\n" );
document.write( "x = 2.0969.../0.85157...<BR>\n" );
document.write( "x = 2.4624..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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