document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302788>Question 302788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello:\r<BR>\n" );
document.write( "\n" );
document.write( "I have a question. I appreciate you taking the time to help me understand so I can get a great grade.\r<BR>\n" );
document.write( "\n" );
document.write( "3.5^3x+1=65.4<BR>\n" );
document.write( "log 3.5^3x+1=log 65.4<BR>\n" );
document.write( "Power Principle<BR>\n" );
document.write( "(3x+1)log3.5=log 65.4<BR>\n" );
document.write( "(3x)log3.5+(1)log3.5= log65.4<BR>\n" );
document.write( "Subtract  -(1)log3.5 -(1)log3.5\r<BR>\n" );
document.write( "\n" );
document.write( "(3x)log3.5=log65.4-(1)log3.5<BR>\n" );
document.write( "(3x)log3.5/log3.5=log65.4-(1)log 3.5/log3.5<BR>\n" );
document.write( " At this point, I am lost. \r<BR>\n" );
document.write( "\n" );
document.write( "Tina   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217097 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3.5^{3x\,+\,1}\ =\ 65.4\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Take the log of both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \log{3.5^{3x\,+\,1}}\ =\ \log{65.4}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So far, so good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the Power Priciple\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (3x\,+\,1)\log{3.5}\ =\ \log{65.4}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Still good, but here is where I would take this in a new direction.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3x\,+\,1\ =\ \frac{\log{65.4}}{\log{3.5}}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3x\ =\ \frac{\log{65.4}}{\log{3.5}}\ -\ 1\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{\frac{\log{\65.4}}{\log{3.5}}\ -\ 1}{3}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The rest is just calculator work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );