document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754806>Question 754806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x<BR>\n" );
document.write( "3^(x-7)=14^(2x)<BR>\n" );
document.write( "write the exact answer using base-10 logarithms </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459308 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=459308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve for x<BR>\n" );
document.write( "3^(x-7)=14^(2x)<BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( "(x-7)*log(3) = 2x*log(14)<BR>\n" );
document.write( "x*log(3) - 7log(3) = 2x*log(14)<BR>\n" );
document.write( "xlog(3) - 2x*log(14) = 7log(3)<BR>\n" );
document.write( "x*(log(3) - 2log(14)) = 7log(3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7log%283%29%2F%28log%283%29+-+2log%2814%29%29 ALIGN=MIDDLE  ALT=\"x+=+7log%283%29%2F%28log%283%29+-+2log%2814%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=x+=+log%282187%29%2Flog%283%2F196%29 ALIGN=MIDDLE  ALT=\"x+=+log%282187%29%2Flog%283%2F196%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "also, x = ln(2187)/ln(3/196) or logs to any matching bases<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );