document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065296>Question 1065296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the pair of integers (a,b) for which 2^(a+1) + 2^a = 3^(b+2) - 3^b . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680425 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=680425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the pair of integers (a,b) for which 2^(a+1) + 2^a = 3^(b+2) - 3^b .<BR>\n" );
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document.write( "2^a(2+1) = 3^b(3^2-1)<BR>\n" );
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document.write( "2^a(3) = 3^b(8)<BR>\n" );
document.write( "(2^a)/(3^b) = 8/3<BR>\n" );
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document.write( "Ans: a = 3 ; b = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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