document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537707>Question 537707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x <BR>\n" );
document.write( "log( 1/2, x ) = -1/3 <BR>\n" );
document.write( "The answer is 2^1/3 \r<BR>\n" );
document.write( "\n" );
document.write( "I want to know the method please.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352958 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=352958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find x <BR>\n" );
document.write( "log( 1/2, x ) = -1/3 <BR>\n" );
document.write( "The answer is 2^1/3 <BR>\n" );
document.write( "I want to know the method please.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "log1/2(x) = -1/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "base = 1/2<BR>\n" );
document.write( "log = exponent = -1/3<BR>\n" );
document.write( "result = x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = (1/2)^(-1/3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The negative in the exponent means \"invert\":<BR>\n" );
document.write( "x = 2^(1/3)<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );