document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144754>Question 1144754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x, <BR>\n" );
document.write( "4^(x+1.5) + 9^(x+0.5) = 10×6^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765946 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=765946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The equation has two terms on the left with different exponents involving the variable; the expression on the right has the variable in an exponent.  Such equations can't be solved algebraically; numerical methods are needed.<br><BR>\n" );
document.write( "Use a graphing calculator to find the answer.<br><BR>\n" );
document.write( "The expressions on the two sides of the equation have values that are very nearly equal across a large part of the domain, so graphing the two expressions to find their intersection doesn't work well.  Instead, graph the expression<br><BR>\n" );
document.write( "4^(x+1.5) + 9^(x+0.5) - 10×6^x<br><BR>\n" );
document.write( "and find where the value is 0. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );