document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601555>Question 601555</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express irrational solutions in exact form as a decimal rounded to three decimal places<BR>\n" );
document.write( "log2x+log6x=3  ((( log base 2 of x plus log base 6 of x=3))) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379890 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=379890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express irrational solutions in exact form as a decimal rounded to three decimal places<BR>\n" );
document.write( "log2x+log6x=3<BR>\n" );
document.write( "convert to log base 2<BR>\n" );
document.write( "log2(x)+log2(x)/log2(6)=3<BR>\n" );
document.write( "log2(6)=log(6)/log(2)=2.585<BR>\n" );
document.write( "log2(x)+log2(x)/2.585=3<BR>\n" );
document.write( "LCD=2.585<BR>\n" );
document.write( "2.585log2(x)+log2(x)=3*2.585&#8776;7.755<BR>\n" );
document.write( "place under single log<BR>\n" );
document.write( "log2(x^2.585*x)=7.755<BR>\n" );
document.write( "convert to exponential form<BR>\n" );
document.write( "2^7.755=x^3.585<BR>\n" );
document.write( "216.017=x^3.585<BR>\n" );
document.write( "raise both side by 1/3.585 power<BR>\n" );
document.write( "x=4.479 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );