document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143734>Question 1143734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solving the equation by steps: <BR>\n" );
document.write( "  log(x,4)+log(x-1,3)=2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764642 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solving the equation by steps: <BR>\n" );
document.write( "  log(x,4)+log(x-1,3)=2<BR>\n" );
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document.write( "Step 1:  No two logs with different consecutive bases will have a sum of 2 unless the arguments are also consecutive and are equal to the respective bases.<BR>\n" );
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document.write( "x = 4<BR>\n" );
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document.write( "It's possible to contrive other pairs with a sum of 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C2%29+%2B+log%283%2C3sqrt%283%29%29+=+2 ALIGN=MIDDLE  ALT=\"log%284%2C2%29+%2B+log%283%2C3sqrt%283%29%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > but the arguments are not consecutive integers.<BR>\n" );
document.write( " </SPAN>\n" );
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