document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670111>Question 670111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation:<BR>\n" );
document.write( "1)3 ln 3x =6\r<BR>\n" );
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document.write( "2) ln &#8730;x+7 =4\r<BR>\n" );
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document.write( "3)ln(3x-4) =ln(4)-ln(x-1)\r<BR>\n" );
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document.write( "4) log(x^2-6)=1\r<BR>\n" );
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document.write( "5) (9/7)^x=6^1-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416986 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=416986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the equation:<BR>\n" );
document.write( "1)3 ln 3x =6<BR>\n" );
document.write( "ln3x=6/3=2<BR>\n" );
document.write( "e^2=3x<BR>\n" );
document.write( "x=e^2/3<BR>\n" );
document.write( "x&#8776;2.463<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "2) ln &#8730;(x+7)=4<BR>\n" );
document.write( "e^4=&#8730;(x+7) <BR>\n" );
document.write( "square both sids<BR>\n" );
document.write( "e^8=x+7<BR>\n" );
document.write( "x=e^8-7<BR>\n" );
document.write( "x&#8776;2973.9578-7<BR>\n" );
document.write( "x&#8776;2966.9578<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3)ln(3x-4) =ln(4)-ln(x-1)<BR>\n" );
document.write( "ln(3x-4) =ln(4/(x-1))<BR>\n" );
document.write( "3x-4=4/(x-1)<BR>\n" );
document.write( "(3x-4)(x-1)=4<BR>\n" );
document.write( "3x^2-7x+4=4<BR>\n" );
document.write( "3x^2-7x=0<BR>\n" );
document.write( "x(3x-7)=0<BR>\n" );
document.write( "x=0 (reject, (x-1)>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=7/3<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "4) log(x^2-6)=1<BR>\n" );
document.write( "10^1=x^2-6<BR>\n" );
document.write( "x^2-16=0<BR>\n" );
document.write( "(x+4)(x-4)=0<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "5) (9/7)^x=6^(1-x)<BR>\n" );
document.write( "xlog(9/7)=(1-x)log6<BR>\n" );
document.write( "x/(1-x)=log6/log(9/7)=7.1296<BR>\n" );
document.write( "x=7.1296-7.1296x<BR>\n" );
document.write( "8.1296x=7.1296<BR>\n" );
document.write( "x=7.1296/8.1296<BR>\n" );
document.write( "x&#8776;0.8770 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );