document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410462>Question 410462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve these equations\r<BR>\n" );
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document.write( "3log(3y+2) = log(3y+2) - log7\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "( log(5x-6) / logx ) = 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288892 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=288892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3log(3y+2) = log(3y+2) - log7<BR>\n" );
document.write( "and( log(5x-6) / logx ) = 2\r<BR>\n" );
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document.write( "..\r<BR>\n" );
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document.write( "solving second equation,<BR>\n" );
document.write( "log(5x-6)/logx=2<BR>\n" );
document.write( "=log(5x-6)=2logx<BR>\n" );
document.write( "log(5x-6)-2logx=0<BR>\n" );
document.write( "log(5x-6)/x^2=0<BR>\n" );
document.write( "convert to exponential form,<BR>\n" );
document.write( "(5x-6)/x^2=10^0=1<BR>\n" );
document.write( "5x-6=x^2<BR>\n" );
document.write( "x^2-5x+6=0<BR>\n" );
document.write( "(x-3)(x-2)=0<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "x=3\r<BR>\n" );
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document.write( "..\r<BR>\n" );
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document.write( "solving first equation<BR>\n" );
document.write( "3log(3y+2)=log(3y+2)-log7<BR>\n" );
document.write( "3log(3y+2)-log(3y+2)+log7=0<BR>\n" );
document.write( "2log(3y+2)+log7=0<BR>\n" );
document.write( "log(3y+2)^2*7)=0<BR>\n" );
document.write( "convert to exponential form,<BR>\n" );
document.write( "7(3y+2)^2=10^0=1<BR>\n" );
document.write( "7(9y^2+12y+4)=1<BR>\n" );
document.write( "63y^2+84y+28=1<BR>\n" );
document.write( "63y^2+84y+27=0<BR>\n" );
document.write( "divide by 3<BR>\n" );
document.write( "21y^2+28y+9=0<BR>\n" );
document.write( "solve by quadratic formula,<BR>\n" );
document.write( "a=21,b=28,c=9<BR>\n" );
document.write( "y=[-28+-sqrt(28^2-4*21*9)]/2*21<BR>\n" );
document.write( " =[-28+-sqrt(28)]/42<BR>\n" );
document.write( " =(-28+-5.29)/42<BR>\n" );
document.write( "y=-.792 (reject because this makes (3y+2)<0) In logx,x>0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y=-.541\r<BR>\n" );
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document.write( " </SPAN>\n" );
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