document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431446>Question 431446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log[4]x    +    log[4](x+1)=log[4]6<BR>\n" );
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document.write( "Solve the logarithmic equation.\r<BR>\n" );
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document.write( "(To ensure my problem makes sense, the 4's are supposed to be \"subscripts\" of the log, I just didn't know how to type it other than this.  Thank you for your help!  Please respond as quickly as possible. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299414 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=299414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> apply log rules:<BR>\n" );
document.write( "log[4]x + log[4](x+1)=log[4]6<BR>\n" );
document.write( "log[4](x(x+1))=log[4]6<BR>\n" );
document.write( "x(x+1)=6<BR>\n" );
document.write( "x^2+x = 6<BR>\n" );
document.write( "x^2+x-6 =0<BR>\n" );
document.write( "factoring the left:<BR>\n" );
document.write( "(x+3)(x-2) = 0<BR>\n" );
document.write( "x = {-3, 2}<BR>\n" );
document.write( "we can throw out the -3 (extraneous solution) leaving:<BR>\n" );
document.write( "x = 2\r<BR>\n" );
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