document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230394>Question 230394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/2 loga (X+2)+ 1/2 loga(X-1)= 2/3 loga 27<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170611 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=170611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2 loga (X+2)+ 1/2 loga(X-1)= 2/3 loga 27\r<BR>\n" );
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document.write( "All these logs are loga<BR>\n" );
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document.write( "log(x+2)^(1/2) + log(x-1)^(1/2) = log(27)^(2/3)<BR>\n" );
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document.write( "log[(x+2)(x-1)]^(1/2) = log9<BR>\n" );
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document.write( "[(x^2+x-2)^(1/2)] = 9<BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
document.write( "x^2+x-2 = 81<BR>\n" );
document.write( "x^2+x-83 = 0<BR>\n" );
document.write( "x = [-1 +- sqrt(1 -4*-83)]/2<BR>\n" );
document.write( "x = [-1 +- sqrt(333)]/2<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 8.62.. <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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