document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344674>Question 344674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I don't know how to solve the following :<BR>\n" );
document.write( "1.e^(2lnx+lny)<BR>\n" );
document.write( "2. ln square root sign(e^x+y)<BR>\n" );
document.write( "3.log to the base 3 - log3 (2-3x)= log9 (6x^2-19x+2)<BR>\n" );
document.write( "4. simultaneous equations :<BR>\n" );
document.write( " I) log2X (log 2 to the base x) - log4y (log 4 to the base y ) =4<BR>\n" );
document.write( " and log2(x-2y)(log 2 to  the base x-2y)=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246630 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=246630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.e^(2lnx+lny)<BR>\n" );
document.write( "= e^(ln(x^2)+ln(y)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= e^(ln(x^2*y))<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= x^2*y<BR>\n" );
document.write( "====================\r<BR>\n" );
document.write( "\n" );
document.write( "2. ln square root sign(e^x+y)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln[e^(x+y)]^(1/2)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= (1/2)*ln(e^(x+y))<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= (1/2)(x+y)<BR>\n" );
document.write( "====================\r<BR>\n" );
document.write( "\n" );
document.write( "3.log to the base 3 - log3 (2-3x)= log9 (6x^2-19x+2)<BR>\n" );
document.write( "Something is missing in your problem statement.<BR>\n" );
document.write( "================================================\r<BR>\n" );
document.write( "\n" );
document.write( "4. simultaneous equations :<BR>\n" );
document.write( "I) log2X (log 2 to the base x) - log4y (log 4 to the base y ) =4<BR>\n" );
document.write( "and log2(x-2y)(log 2 to the base x-2y)=5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log2(x)-log2(y) = 4<BR>\n" );
document.write( "log2(x-2y) = 5<BR>\n" );
document.write( "------<BR>\n" );
document.write( "log2(x/y) = 4<BR>\n" );
document.write( "log2(x-2y) = 5<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "x/y = 2^4<BR>\n" );
document.write( "x-2y = 2^5<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "x -16y = 0<BR>\n" );
document.write( "x -2y = 32<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Subtract 1st from 2nd and solve for \"y\":<BR>\n" );
document.write( "14y = 32<BR>\n" );
document.write( "y = 16/7<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since x/y = 16<BR>\n" );
document.write( "x = 16y = 16(16/7) = 16^2/7<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Solution: x = 16/7 ; y = 16^2/7<BR>\n" );
document.write( "====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );