document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054906>Question 1054906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (b)  i.  Find an expression for y in terms of x, if log 4 + log(x – 1) = 3log y<BR>\n" );
document.write( "    ii.  Solve the system of equations<BR>\n" );
document.write( "         log 4 + log(x – 1) = 3log y<BR>\n" );
document.write( "           2y – x = 3<BR>\n" );
document.write( "   iii.  Solve for x, log2(2x – 1) = 8  <BR>\n" );
document.write( " <BR>\n" );
document.write( "in iii.: log2, the 2 is actually a small one below the g  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670546 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i.  Find an expression for y in terms of x, if <BR>\n" );
document.write( "log 4 + log(x – 1) = 3log y<BR>\n" );
document.write( "log(4(x-1)) = 3log(y)<BR>\n" );
document.write( "log(y) = log(4x-4)/3<BR>\n" );
document.write( "y = 10^((4x-4)/3)<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "    ii.  Solve the system of equations<BR>\n" );
document.write( "         log 4 + log(x – 1) = 3log y<BR>\n" );
document.write( "           2y – x = 3<BR>\n" );
document.write( "Sub for y<BR>\n" );
document.write( "2*10^((4x-4)/3) – x = 3<BR>\n" );
document.write( "-- No algebraic solution.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "   iii.  Solve for x, log2(2x – 1) = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%282x-1%29%29+=+8 ALIGN=MIDDLE  ALT=\"log%282%2C%282x-1%29%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2x-1 = 2^8 = 256<BR>\n" );
document.write( "2x = 257<BR>\n" );
document.write( "x = 257/2<BR>\n" );
document.write( "=============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );