document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245003>Question 245003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln(5x-6)=3\r<BR>\n" );
document.write( "\n" );
document.write( "i cant figure out this problem for the life of me. i have a graphing calc. can you help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179115 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(5x-6) = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in general, ln(x) = y if and only if e^y = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in your equation:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(5x-6) = 3 if and only if e^3 = 5x-6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for x to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = (e^3+6)/5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use your calculator to solve.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "e^3 = 20.08553692\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that makes x = 26.08553692/5 = 5.217107385\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "substitute in your original equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(5x-6) = 3 becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(5*5.217107385 - 6) = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use your calculator again to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3 = 3 confirming that your answer is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in my calculator, if i want the natural log of a number, i would use the ln key as follows:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i want ln(3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i enter 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i press the ln key.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i get my answer which is ln(3).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if i want e^3 i do the following:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i enter 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i press the 2d key\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i press the ln key\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i get my answer which is e^3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );