document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494529>Question 494529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve 5^x-2 = 3^3x+2 for x.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336514 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=336514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve 5^x-2 = 3^3x+2 for x<BR>\n" );
document.write( "**<BR>\n" );
document.write( "5^(x-2) = 3^(3x+2)<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( "(x-2)log5=(3x+2)log3<BR>\n" );
document.write( "(x-2)/(3x+2)=log3/log5=.6826<BR>\n" );
document.write( "x-2=.6826(3x+2)=2.0478x+1.3652<BR>\n" );
document.write( "1.0478x=-3.3652<BR>\n" );
document.write( "x=-3.3652/1.0478=-3.2117<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "5^(x-2)=5^(-5.2117)=.0002 <BR>\n" );
document.write( "3^(3x+2)=3^(-7.6351)=.0002 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );