document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744487>Question 744487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Solve the following equations<BR>\n" );
document.write( "a) 5^(2x) + 5^(x) - 6 = 0 (hint let y = 5^(x)\r<BR>\n" );
document.write( "\n" );
document.write( "Can you please help me out? Thanks so much in advance:)<BR>\n" );
document.write( "Can you please show all the steps it would really help me understand:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453344 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=453344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) 5^(2x) + 5^(x) - 6 = 0 (hint let y = 5^(x) <BR>\n" );
document.write( ".<BR>\n" );
document.write( "We Let y = 5^x<BR>\n" );
document.write( "if so, we can rewrite:<BR>\n" );
document.write( "5^(2x) + 5^(x) - 6 = 0<BR>\n" );
document.write( "AS<BR>\n" );
document.write( "y^2 + y - 6 = 0<BR>\n" );
document.write( "now, we factor :<BR>\n" );
document.write( "(y+3)(y-2) = 0<BR>\n" );
document.write( "y = {-3, 2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "But, we still need to find x:<BR>\n" );
document.write( "since<BR>\n" );
document.write( "y = 5^x<BR>\n" );
document.write( "we substitute each value of y to find x:<BR>\n" );
document.write( "-3 = 5^x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C-3%29+=+x+ ALIGN=MIDDLE  ALT=\"log%285%2C-3%29+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since we can't take the log of a negative value we throw out this solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2 = 5^x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C2%29+=+x+ ALIGN=MIDDLE  ALT=\"log%285%2C2%29+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%29%2Flog%285%29+=+x+ ALIGN=MIDDLE  ALT=\"log%282%29%2Flog%285%29+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "0.431 = x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );