document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185156>Question 185156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi:) I need some help:)\r<BR>\n" );
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document.write( "Solve for x:<BR>\n" );
document.write( "1) logbase[5](x+1)+logbase[5](x-2)=logbase[5] 4<BR>\n" );
document.write( "2) 1/3 logbase[3] 27+logbase[3] x = 4^(1/2)<BR>\n" );
document.write( "3) logbase[2](x-6)+logbase[2](x)=4<BR>\n" );
document.write( "4) logbase[4](2x+1)-logbase[4](x-2)=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139099 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You will need to apply \"log rules\".  <BR>\n" );
document.write( "You can review them at:<BR>\n" );
document.write( "http://www.purplemath.com/modules/logrules.htm<BR>\n" );
document.write( ".<BR>\n" );
document.write( "    1) logbase[5](x+1)+logbase[5](x-2)=logbase[5] 4<BR>\n" );
document.write( "logbase[5](x+1)(x-2)=logbase[5] 4<BR>\n" );
document.write( "logbase[5](x^2-x-2)=logbase[5] 4<BR>\n" );
document.write( "x^2-x-2= 4<BR>\n" );
document.write( "x^2-x-6= 0<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
document.write( "x = {3,-2}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "    2) 1/3 logbase[3] 27+logbase[3] x = 4^(1/2)<BR>\n" );
document.write( "logbase[3] 27^(1/3) +logbase[3] x = 4^(1/2)<BR>\n" );
document.write( "logbase[3] 3 +logbase[3] x = 2<BR>\n" );
document.write( "logbase[3] 3x = 2<BR>\n" );
document.write( "3x = 3^2<BR>\n" );
document.write( "3x = 9<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "    3) logbase[2](x-6)+logbase[2](x)=4<BR>\n" );
document.write( "logbase[2](x-6)(x)=4<BR>\n" );
document.write( "(x-6)(x)=2^4<BR>\n" );
document.write( "x^2-6x=16<BR>\n" );
document.write( "x^2-6x-16 = 0<BR>\n" );
document.write( "(x-8)(x+2) = 0<BR>\n" );
document.write( "x = {8,-2}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "    4) logbase[4](2x+1)-logbase[4](x-2)=1<BR>\n" );
document.write( "logbase[4](2x+1)(x-2)=1<BR>\n" );
document.write( "(2x+1)(x-2)=4^1<BR>\n" );
document.write( "2x^2-4x+x-2=4<BR>\n" );
document.write( "2x^2-3x-2=4<BR>\n" );
document.write( "2x^2-3x-6=0<BR>\n" );
document.write( "(2x+2)(x-3) = 0<BR>\n" );
document.write( "x={-1, 3}<BR>\n" );
document.write( " </SPAN>\n" );
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