document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714277>Question 714277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify without a calculator. Show all steps <BR>\n" );
document.write( "4 log base 3 of 1/3 + 2log base 27 of 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438752 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=438752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify without a calculator. Show all steps <BR>\n" );
document.write( "4 log base 3 of 1/3 + 2log base 27 of 9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4 log base 3 of 1/3<BR>\n" );
document.write( "=log3(1/3)^4<BR>\n" );
document.write( "=log3(1/81)<BR>\n" );
document.write( "=log3(1/3)^4)<BR>\n" );
document.write( "=log3(1/3)^3)*(1/3)<BR>\n" );
document.write( "=log3[(3^-3)*(3^-1)]<BR>\n" );
document.write( "=log3(3^-3)+log3(3^-1)<BR>\n" );
document.write( "log of base raised to a power=power<BR>\n" );
document.write( "=-3-1=-4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2log base 27 of 9<BR>\n" );
document.write( "=log27(9^2)<BR>\n" );
document.write( "=log27(81)<BR>\n" );
document.write( "=log27(3^3)+log27(3^1)<BR>\n" );
document.write( "=log27(27)+log27(3)<BR>\n" );
document.write( "=1+1/3<BR>\n" );
document.write( "=4/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4 log base 3 of 1/3 + 2log base 27 of 9=-4+4/3=-12/3+4/3=-8/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );