document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167993>Question 167993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having some serious problems with these 3 logs:\r<BR>\n" );
document.write( "\n" );
document.write( "1.)    2(log 2x-log y)-(log 3 + 2 log 5)\r<BR>\n" );
document.write( "\n" );
document.write( "2.)    350/(1+e to the negative x) = 300 : solve for x (not sure where to start)\r<BR>\n" );
document.write( "\n" );
document.write( "3.)    \"the fifth\" log of (x+4) - \"the fifth\" log of x = 3 (again solving for x, but not sure where to start with this one...it just isn't working out)\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for the help,<BR>\n" );
document.write( "Matt G. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123839 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=123839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) <BR>\n" );
document.write( "2(log 2x-log y)-(log 3 + 2 log 5) <BR>\n" );
document.write( "2(log 2x-log y)-(log 3 + log 5^2)<BR>\n" );
document.write( "2(log 2x-log y)-(log 3 + log 25)<BR>\n" );
document.write( "2(log 2x/y)-(log 3*25)<BR>\n" );
document.write( "log (2x/y)^2 - log 75<BR>\n" );
document.write( "log (4x^2/y^2) - log 75<BR>\n" );
document.write( "log (4x^2/y^2)/75<BR>\n" );
document.write( "log (4x^2/75y^2)\r<BR>\n" );
document.write( "\n" );
document.write( "2.) 350/(1+e to the negative x) = 300 : solve for x (not sure where to start) <BR>\n" );
document.write( "350/(1+e^(-x)) = 300<BR>\n" );
document.write( "350 = 300(1+e^(-x))<BR>\n" );
document.write( "350 = 300 + 300e^(-x)<BR>\n" );
document.write( "50 = 300e^(-x)<BR>\n" );
document.write( "50/300 = e^(-x)<BR>\n" );
document.write( "5/30 = e^(-x)<BR>\n" );
document.write( "1/6 = e^(-x)<BR>\n" );
document.write( "ln(1/6) = -x<BR>\n" );
document.write( "-1.7918 = -x<BR>\n" );
document.write( "1.7918 = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3.) \"the fifth\" log of (x+4) - \"the fifth\" log of x = 3<BR>\n" );
document.write( "log5(x+4) - log5(x) = 3<BR>\n" );
document.write( "log5[(x+4)/x] = 3<BR>\n" );
document.write( "(x+4)/x = 5^3<BR>\n" );
document.write( "(x+4)/x = 125<BR>\n" );
document.write( "x+4 = 125x<BR>\n" );
document.write( "4 = 124x<BR>\n" );
document.write( "0.032 = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );