document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=492747>Question 492747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> These problems have me stumped, any help would be greatly appreciated!\r<BR>\n" );
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document.write( "1. solve for x: (x-3)/2 - 3|2x-1|=-5/3\r<BR>\n" );
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document.write( "2. solve for x: log(base 3)(x+3)-log(base3)(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 #335177 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=335177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. solve for x: (x-3)/2 - 3|2x-1|=-5/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "|2x-1| = 2x-1 if x >= 1/2<BR>\n" );
document.write( "|2x-1| is 1-2x if x < 1/2<BR>\n" );
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document.write( "Consider x< 1/2 to get:<BR>\n" );
document.write( "(x-3)/2 -3(1-2x) = -5/3<BR>\n" );
document.write( "x-3 - 6(1-2x) = -10/3<BR>\n" );
document.write( "x-3-6+12x = -10/3<BR>\n" );
document.write( "13x = -10/3+9 = 17/3<BR>\n" );
document.write( "x = 17/39<BR>\n" );
document.write( "But 17/39 is not less than 1/2 so no solution in the interval x < 1/2<BR>\n" );
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document.write( "Consider x >= 1/2<BR>\n" );
document.write( "(x-3)/2 - 3(2x-1) = -5/3<BR>\n" );
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document.write( "Multiply thru by 6:<BR>\n" );
document.write( "3(x-3) - 18(2x-1) = -10<BR>\n" );
document.write( "3x-9 -36x+18 = -10<BR>\n" );
document.write( "-33x = -19<BR>\n" );
document.write( "x = 19/33 which is > 1/2<BR>\n" );
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document.write( "That is the solution.<BR>\n" );
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document.write( "2. solve for x: log(base 3)(x+3)-log(base3)(x-1)=2<BR>\n" );
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document.write( "log3[x+3)/(x-1)] = 2<BR>\n" );
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document.write( "(x+3)/(x-1) = 9<BR>\n" );
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document.write( "x+3 = 9x-9<BR>\n" );
document.write( "8x = 12<BR>\n" );
document.write( "x = 3/2<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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