document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563953>Question 563953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need hep solving:<BR>\n" );
document.write( "(1/3)^x+1 = 9^x\r<BR>\n" );
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document.write( "I made the bases the same:<BR>\n" );
document.write( "9^-2(x+1) = 9^x\r<BR>\n" );
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document.write( "Then I set the exponents as an equation:<BR>\n" );
document.write( "2x + 2 = x<BR>\n" );
document.write( "2 = -x<BR>\n" );
document.write( "X = -2\r<BR>\n" );
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document.write( "When I checked the back of my book for the answer I saw it was -1/3 and I don't how to get it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365157 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1/3)^x+1 = 9^x <BR>\n" );
document.write( "you made a mistake making the bases the same:<BR>\n" );
document.write( "9^-2=1/81 so that doesn't work<BR>\n" );
document.write( "you want <BR>\n" );
document.write( "9^-(1/2)=1/3<BR>\n" );
document.write( "So you get:<BR>\n" );
document.write( "9^-(1/2)(x+1) = 9^x <BR>\n" );
document.write( "-(1/2)(x+1) simplifies to -1/2x-1/2 since you have to distribute the negative 1/2\r<BR>\n" );
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document.write( "-(1/2)x-1/2=x<BR>\n" );
document.write( "Multiply both sides by 2 to clear the fraction<BR>\n" );
document.write( "-x-1=2x<BR>\n" );
document.write( "add x to both sides<BR>\n" );
document.write( "-1=3x<BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "x=-1/3\r<BR>\n" );
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document.write( "Difficult problem!  </SPAN>\n" );
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