document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=711649>Question 711649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation. Round answer to four decimal places.<BR>\n" );
document.write( "log3(x+2)+log3(4x-1)=5? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437507 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log3(x+2)+log3(4x-1)=5<BR>\n" );
document.write( "log3(x+2)(4x-1)=5<BR>\n" );
document.write( "(x+2)(4x-1)=3^5<BR>\n" );
document.write( "4x^2-x+8x-2 = 243<BR>\n" );
document.write( "4x^2+7x-245 = 0<BR>\n" );
document.write( "rewrite middle term:<BR>\n" );
document.write( "4x^2-28x+35x-245 = 0<BR>\n" );
document.write( "group:<BR>\n" );
document.write( "(4x^2-28x)+(35x-245) = 0<BR>\n" );
document.write( "4x(x-7)+35(x-7) = 0<BR>\n" );
document.write( "(x-7)(4x+35) = 0<BR>\n" );
document.write( "x = {-35/4, 7}<BR>\n" );
document.write( "throw out the negative solution (extraneous) leaving:<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "or, to 4 decimal places:<BR>\n" );
document.write( "x = 7.0000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );