document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153275>Question 153275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x: \r<BR>\n" );
document.write( "\n" );
document.write( "log5x(x-1)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112837 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=112837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve for x: <BR>\n" );
document.write( "log5x(x-1)=2<BR>\n" );
document.write( "----------\r<BR>\n" );
document.write( "\n" );
document.write( "This says \"when the exponent of 10 is 2 then 10^2 = 5x(x-1)\"<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "5x(x-1) = 10^2<BR>\n" );
document.write( "5x^2 - 5x - 100 = 0<BR>\n" );
document.write( "x^2 -x -20 = 0<BR>\n" );
document.write( "(x-5)(x+4) = 0<BR>\n" );
document.write( "x = 5 or x= -4<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Checking in the original problem:<BR>\n" );
document.write( "Can x = 5 ?<BR>\n" );
document.write( "log[5*5(5-1) = 2<BR>\n" );
document.write( "log[100] = 2<BR>\n" );
document.write( "true<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Can x = -4<BR>\n" );
document.write( "log5(-4)(-4-1) = 2<BR>\n" );
document.write( "log(100) = 2<BR>\n" );
document.write( "true<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );