document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437731>Question 437731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x.\r<BR>\n" );
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document.write( "log3 (x+4) x log3 (x-4) = 0\r<BR>\n" );
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document.write( "Check the validity of each solution in the original equation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302793 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=302793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log3 (x+4) x log3 (x-4) = 0<BR>\n" );
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document.write( "[log(x+4)/log(3)] = 0<BR>\n" );
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document.write( "Multiply thru by (log(3))^2 to get:<BR>\n" );
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document.write( "log(x+4)*log(x-4) = 0<BR>\n" );
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document.write( "Either log(x+4) = 0 or log(x-4) = 0<BR>\n" );
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document.write( "If log(x+4) = 0, x+4= 1, so x = -3<BR>\n" );
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document.write( "If log(x-4) = 0, x-4= 1, so x = 5<BR>\n" );
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document.write( "Checking:<BR>\n" );
document.write( "x = -3 ?<BR>\n" );
document.write( "log3(-3+4)*log(-3-4) = 0<BR>\n" );
document.write( "Wrong; you cannot have log(-7)<BR>\n" );
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document.write( "x = 5<BR>\n" );
document.write( "log3(5+4)*log(5-4) = 0<BR>\n" );
document.write( "log3(9)*log(1) = 0<BR>\n" );
document.write( "2*0 = 0<BR>\n" );
document.write( "Good<BR>\n" );
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document.write( "Conclusion: x = 5<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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