document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859838>Question 859838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each equation.  Round to 2 decimal places, if needed.\r<BR>\n" );
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document.write( "7^x=3^3x+1\r<BR>\n" );
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document.write( "Thanks in advance for the help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517999 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=517999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the exponent of 3?  3x?  3x+1?<BR>\n" );
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document.write( "If it's 3x+1,<BR>\n" );
document.write( "7^x=3^3x+1<BR>\n" );
document.write( "x*ln(7) = (3x+1)*ln(3)<BR>\n" );
document.write( "x*ln(7) = 3x*ln(3) + ln(3)<BR>\n" );
document.write( "x*(ln(7) - 3ln(3)) = ln(3)<BR>\n" );
document.write( "x = ln(3)/(ln(7) - ln(27))<BR>\n" );
document.write( "x = ln(3)/ln(7/27)<BR>\n" );
document.write( "x =~ -0.813831 </SPAN>\n" );
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