document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202609>Question 1202609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve 3^(3x+4) - 30(3^x) + 1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837544 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "3^(3x+4) −30×3^x +1=0\r<BR>\n" );
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document.write( "Rewrite the expression\r<BR>\n" );
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document.write( "81×3^3x −30×3x +1=0\r<BR>\n" );
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document.write( "substitute  t=3^x<BR>\n" );
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document.write( "81t^ 3 −30t+1=0\r<BR>\n" );
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document.write( "Solve <BR>\n" );
document.write( "Calculator<BR>\n" );
document.write( "​<BR>\n" );
document.write( "  <BR>\n" );
document.write( "t≈−0.624609<BR>\n" );
document.write( "t≈0.033434<BR>\n" );
document.write( "t≈0.591174\r<BR>\n" );
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document.write( "Resubstitute t\r<BR>\n" );
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document.write( "3^x=  ≈−0.624609\r<BR>\n" );
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document.write( "3^x =  ≈0.033434\r<BR>\n" );
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document.write( "3^x =  ≈0.591174\r<BR>\n" );
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document.write( "Find x and conclude<BR>\n" );
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document.write( "​<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );