document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296950>Question 296950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is 2log5x - log5 2= log5(2x+6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213887 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=213887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is 2log5x - log5 2= log5(2x+6)\r<BR>\n" );
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document.write( "2log5 x = log5 x^2 so the left side above becomes:\r<BR>\n" );
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document.write( "log5 x^2 - log5 2 = log5 (x^2/2)\r<BR>\n" );
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document.write( "We have then:\r<BR>\n" );
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document.write( "log5 (x^2/2) =  log5 (2x+6) so\r<BR>\n" );
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document.write( "x^2/2 = 2x+6<BR>\n" );
document.write( "x^2 = 2*(2x+6)<BR>\n" );
document.write( "x^2 = 4x + 12<BR>\n" );
document.write( "x^2 - 4x - 12 = 0<BR>\n" );
document.write( "(x-6)*(x+2) = 0\r<BR>\n" );
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document.write( "x-6 = 0 or x+2 = 0<BR>\n" );
document.write( "x = 6 or x = -2<BR>\n" );
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