document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828693>Question 828693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "Could you help me solve this logarithmic equation using property of equality?\r<BR>\n" );
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document.write( "ln(5x-6) = ln(6) - ln(x-1)\r<BR>\n" );
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document.write( "Thank you so much !! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499444 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "ln(5x-6) = ln(6) - ln(x-1)<BR>\n" );
document.write( "ln(5x-6) = ln(6/(x-1))<BR>\n" );
document.write( "e^( ln(5x-6) ) = e^( ln(6/(x-1)) )<BR>\n" );
document.write( "(5x-6) = 6/(x-1)<BR>\n" );
document.write( "(5x-6)(x-1) = 6<BR>\n" );
document.write( "5xx - 5x - 6x + 6 = 6<BR>\n" );
document.write( "5xx - 11x = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=5, b=-11, and c=0<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "5 -11 0<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "x = 2.2<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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