document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=565979>Question 565979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the simultaneous equations :\r<BR>\n" );
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document.write( "logbase2(x) + logbase8(y) = -1\r<BR>\n" );
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document.write( "logbase4(x) + logbase2(y) =  2\r<BR>\n" );
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document.write( "Cannot solve, spent hours on it\r<BR>\n" );
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document.write( "Any help would be appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366040 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=366040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the simultaneous equations : <BR>\n" );
document.write( "logbase2(x) + logbase8(y) = -1 <BR>\n" );
document.write( "logbase4(x) + logbase2(y) = 2 <BR>\n" );
document.write( "**<BR>\n" );
document.write( "Change to base2:<BR>\n" );
document.write( "log2(x) + log2(y)/log2(8) = -1 <BR>\n" );
document.write( "log2(x)/log2(4) + log2(y) = 2<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "log2(4)=2<BR>\n" );
document.write( "log2(8)=3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "log2(x) + log2(y)/3= -1 <BR>\n" );
document.write( "log2(x)/2 + log2(y) = 2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3log2(x) + log2(y)= -3 <BR>\n" );
document.write( "log2(x) +2 log2(y) =4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6log2(x) + 2log2(y)= -6 <BR>\n" );
document.write( "log2(x) +2 log2(y) =4<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "6log2(x)-log2(x)=-10<BR>\n" );
document.write( "log2(x^6)-log2(x)=-10<BR>\n" );
document.write( "log2(x^6/x)=-10<BR>\n" );
document.write( "log2(x^5)=-10<BR>\n" );
document.write( "convert to exponential form: base(2) raised to log of number(-10)=number(x^5)<BR>\n" );
document.write( "2^-10=x^5<BR>\n" );
document.write( "take 5th root of both sides<BR>\n" );
document.write( "x=(2^-2)=1/(2^2)=1/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "solving for y<BR>\n" );
document.write( "log2(x) +2 log2(y) =4<BR>\n" );
document.write( "log2(2^-2)+2log2(y)=4<BR>\n" );
document.write( "-2+2log2(y)=4<BR>\n" );
document.write( "2log2(y)=6<BR>\n" );
document.write( "log2(y)=3<BR>\n" );
document.write( "y=8<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x=1/4<BR>\n" );
document.write( "y=8 </SPAN>\n" );
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