document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999850>Question 999850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log 729 base 3 is equal to x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617395 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=617395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> couple of ways to solve it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "one way:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "convert from log form to exponent form and then solve and then convert back to log form.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log3(729) = x if and only if 3^x = 729\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "through iteration it was determined that x = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get 3^6 = 729\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is true if and only if log3(729) = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get x = 6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it won't always be that easy because the exponent is not always an integer, so the better way is through the use of a calculator and the log base conversion formula.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log3(729) = x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "convert log base to 10 or e because those are the log bases that your calculator can handle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log base 10 is the log function key on your calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log base e is the ln function key on your calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the conversion formula for log base 10 is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log3(729) = log(729)/log(3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the conversion formuls for log base e is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log3(729) = ln(729)/ln(3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "both will get you the correct answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log(729)/log(3) = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ln(729)/ln(3) = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );