document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972064>Question 972064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to solve for X: Log(base3) (x-4) = 2 - log(base3) (x+4) Answer given is \"x=5\"  Could you please explain how to arrive at 5?<BR>\n" );
document.write( "Thank you, <BR>\n" );
document.write( "Tiffany </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594457 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Log(base3) (x-4) = 2 - log(base3) (x+4) <BR>\n" );
document.write( "log 3 (x-4) + log 3(x+4) =2\r<BR>\n" );
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document.write( "log 3{ (x-4)*(x+4)}=2   When you add logs, it is multiplication if you combine them with the same base.\r<BR>\n" );
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document.write( "log 10 (100) + log 10 (10)= log 10 (1000)=3  The left side is 2+1=3<BR>\n" );
document.write( "Raise both to the 3 power.  The log goes away.\r<BR>\n" );
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document.write( "(x-4)*(x+4)=9\r<BR>\n" );
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document.write( "x^2-16=9<BR>\n" );
document.write( "x^2=25<BR>\n" );
document.write( "x+ +5  -5 is extraneous.  \r<BR>\n" );
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document.write( "Check log 3 (1)=2 - log 3 (9)<BR>\n" );
document.write( "The left side is 0 (3^0=1)<BR>\n" );
document.write( "The right side is 2-2=0\r<BR>\n" );
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document.write( "Checks<BR>\n" );
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