document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634223>Question 634223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> : I need help solving for x algebraically.<BR>\n" );
document.write( "(log base 3(x-4))+(log base 3 (x-2)) =1<BR>\n" );
document.write( "I am so lost. I thought I could cancel out logs ad get<BR>\n" );
document.write( "x^2 -2x -4x -8 = 3^1<BR>\n" );
document.write( "x^2 -6x -11 =0<BR>\n" );
document.write( "hm.... help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399432 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=399432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "So near and yet so far.  Pay more attention to your signs:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ 4)(x\ -\ 2)\ =\ x^2\ -\ 6x\ +\ 8\">\r<BR>\n" );
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document.write( "So your quadratic becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 6x\ +\ 5\ =\ 0\">\r<BR>\n" );
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document.write( "Which factors tidily, of course.  But you have to be careful with the log function where the domain is restricted to positive real numbers.  One of the roots of your quadratic is good, but the other makes the argument of both log functions less than zero.  Hence this root must be excluded from the solution set of your equation.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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