document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064580>Question 1064580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem is:\r<BR>\n" );
document.write( "\n" );
document.write( "log 0.728=x<BR>\n" );
document.write( "Assume base 10.<BR>\n" );
document.write( "Solve for x.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is how I solved this problem:\r<BR>\n" );
document.write( "\n" );
document.write( "log 0.728 is equivalent to 10^x=0.728<BR>\n" );
document.write( "since N is less than 1<BR>\n" );
document.write( "characteristic is less than 1<BR>\n" );
document.write( "so c is negative = 0+1=1 with a negative sign placed on top of 1. Thus the value of X will begin with 1.something. <BR>\n" );
document.write( "That something is the mantissa obtained from appendix of a math textbook based on number 728 and mantissa is 8621.  <BR>\n" );
document.write( "Conclusion: x=1.8621 with a bar over digit 1 signifying it's negative number. Therefore, log0.728=x= -1.8621\r<BR>\n" );
document.write( "\n" );
document.write( "CONTROVERSY:<BR>\n" );
document.write( "WHEN I PLUG IN MY CALCULATOR LOG 0.728, THE ANSWER IS NOT -1.8621, BUT -0.1379. SO CALCULATOR SAYS, THE ANSWER IS -0.1379 AND MY CALCULATION SAYS THE ANSWER IS -1.8621. THE BOOK ALSO SAYS THAT THE ANSWER IS EITHER -1.8621 OR 9.8621-10=-0.1379.\r<BR>\n" );
document.write( "\n" );
document.write( "COULD YOU PLEASE TELL ME WHAT DO THOSE DIFFERENT ANSWERS MEAN AND WHY ARE THEY ALL CORRECT ANSWERS? HOW CAN -1.8621 BE CORRECT AT THE SAME TIME WITH -0.1379 AND ALSO WITH 9.8621-10?\r<BR>\n" );
document.write( "\n" );
document.write( "THANK YOU VERY MUCH!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #679648 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=679648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log 0.728=x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Using a TI-84+ I get -0.1879<BR>\n" );
document.write( "----<BR>\n" );
document.write( "But -0.1879 = [1 + -0.1879] -1<BR>\n" );
document.write( "= -1 + 0.8121<BR>\n" );
document.write( "==========<BR>\n" );
document.write( "So the characteristic is -1<BR>\n" );
document.write( "and the mantissa is +0.8121<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );