document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562902>Question 562902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve\r<BR>\n" );
document.write( "\n" );
document.write( "log5 3^x = log25 9^(1-2x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364769 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=364769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log5 3^x = log25 9^(1-2x)<BR>\n" );
document.write( "convert to log base 10<BR>\n" );
document.write( "log(3^x)/log(5)=log(9^(1-2x))/log25<BR>\n" );
document.write( "log25=log5^2=2log5<BR>\n" );
document.write( "log(3^x)/log(5)=log(9^(1-2x))/2log5<BR>\n" );
document.write( "2log(3^x)=log(9^(1-2x)<BR>\n" );
document.write( "log(3^2x)=log(9^(1-2x)<BR>\n" );
document.write( "(3^2x)=(9^(1-2x)<BR>\n" );
document.write( "(3^2x)=(3^(2(1-2x))<BR>\n" );
document.write( "3^2x=3^(2-4x)<BR>\n" );
document.write( "2x=2-4x<BR>\n" );
document.write( "6x=2<BR>\n" );
document.write( "x=1/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );