document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410461>Question 410461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equations. Show your steps. If the answer is irrational, give both an exact value and a decimal approximation.\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( "( log(5x-6) / logx ) = 2\r<BR>\n" );
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document.write( "3^2x = 9^x+2\r<BR>\n" );
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document.write( "HELP PLEASE!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292061 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=292061\">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( "( log(5x-6) / logx ) = 2<BR>\n" );
document.write( "3^2x = 9^x+2 \r<BR>\n" );
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document.write( "..\r<BR>\n" );
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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( "10^0=(3y+2)^2(7)=1<BR>\n" );
document.write( "(9y^2+12y+4)(7)=1<BR>\n" );
document.write( "63y^2+84y+28=1<BR>\n" );
document.write( "63y^2+84y+27=0<BR>\n" );
document.write( "21y^2+28y+9=0<BR>\n" );
document.write( "solving by quadratic formula below:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<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( "y=(-28+-5.2915)42<BR>\n" );
document.write( "y=-33.2915/42,-22.7085?42<BR>\n" );
document.write( "y=-.7927 (reject, because (3y+2)<0 with this solution<BR>\n" );
document.write( "y=-.5407<BR>\n" );
document.write( "ans: <BR>\n" );
document.write( "y=-.5407..<BR>\n" );
document.write( "..<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( "10^0=(5x-6)/x^2=1<BR>\n" );
document.write( "x^2-5x+6=0<BR>\n" );
document.write( "solve by factoring<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=3 or x=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3^2x=9^x+2<BR>\n" );
document.write( "3^2x=(3^2)^x+2<BR>\n" );
document.write( "3^2x=3^2x+4<BR>\n" );
document.write( "no solution (left-hand side not equal to right-hand side)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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