document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32906>Question 32906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (log v3 81)*(log v81 3)=1  I have not idea if this one is true or false.  Any ideas? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19388 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=19388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Let x= log(base sqrt3) 81<BR>\n" );
document.write( " Then (sqrt3)^x=81<BR>\n" );
document.write( "      (sqrt3)^x=3^4= (sqrt3)^8<BR>\n" );
document.write( " Therefore x=8<BR>\n" );
document.write( "Let y=log(base sqrt81) 3<BR>\n" );
document.write( " then (sqrt81)^y=3<BR>\n" );
document.write( "       9^y=3<BR>\n" );
document.write( "  Therefore y=1/2<BR>\n" );
document.write( "Question now becomes; Does xy=1  ?<BR>\n" );
document.write( "Since 8(1/2) is not 1 the answer is \"FALSE\".<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );