document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049708>Question 1049708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve antilog(-3.5048) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665272 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=665272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the anti-log of a number is the number that you take the log of in order to get that number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so, if your number is -3.5048, then the anti-log of -3.5048 is the number that you take the log of in order to get -3.5048.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "algebraically this is shown as log(x) = y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "unless otherwise stated, the base of the log is always assumed to be 10.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in your problem this would be log(x) = -3.5048.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x is called the anti-log of -3.5048.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you need to solve for x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the basic definition of logs states:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log(x) = y if and only if 10^y = x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in your problem, y is equal to -3.5048, so the definition becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log(x) = -3.5048 if and only if 10^-3.5048 = x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can use your calculator to solve for x to get x = (3.127519311 * 10^-4).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if this is correct, then 10^(3.127519311 * 10^-4) will be equal to -3.5048.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use your calculator to see that it does.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "note that 3.127519311 * 10^-4 is the same as .0003127519311.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can enter it either way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's an online calculator you can use if you don't have one.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.alcula.com/calculators/scientific-calculator/\" target = \"_blank\">http://www.alcula.com/calculators/scientific-calculator/</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's a picture of my calculations on this calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/092501.jpg\" alt=$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you simply enter 10^-3.5048 and hit the enter key and you will get 0.000312752 as shown on the calculator display.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the place where you make your entry is the space right above the keys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the display is on top of that.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you then enter log(0.000312752) and the calculator will tell you that the answer is 3.504799904.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the confirmation is not right on because there is rounding going on.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's a tutorial on the basic relationship between logs and exponents.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/logs3.htm\" target = \"-blank\">http://www.purplemath.com/modules/logs3.htm</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i'm assuming you can use a calculator to find the anti-log.<BR>\n" );
document.write( "if you have to use a log table instead, then let me know and i'll take you through that. after i refresh my memory on how.\r<BR>\n" );
document.write( "<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" );