document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670287>Question 670287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the point of intersection for graphs of y=3(5^(2x)) and y=6(4^(3x)). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416912 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=416912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the point of intersection for graphs of y=3(5^(2x)) and y=6(4^(3x))<BR>\n" );
document.write( "**<BR>\n" );
document.write( "At the point of intersection, given equations have the same coordinates<BR>\n" );
document.write( "3(5^(2x)=6(4^(3x)<BR>\n" );
document.write( "(5^(2x)/(4^(3x)=6/3=2<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( "2xlog5-3log4=log2<BR>\n" );
document.write( "2log5x-3log4x=log2<BR>\n" );
document.write( "1.3979x-1.8062x=.30103<BR>\n" );
document.write( "-0.4083x=.30103<BR>\n" );
document.write( "x&#8776;-0.7373<BR>\n" );
document.write( "y&#8776;3(5^(2x)=3*(5^(2*-0.7373))<BR>\n" );
document.write( "y&#8776;0.2795<BR>\n" );
document.write( "point of intersection: (-0.7373, 0.2795)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );