document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135168>Question 135168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> okay i have two problems\r<BR>\n" );
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document.write( "2^(2/3x+1)-3x2^(1/3x)-20=0 \r<BR>\n" );
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document.write( "also,\r<BR>\n" );
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document.write( "2^2x-1  -3x2^x-1  +1=0\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 #99003 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=99003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2^[(2/3)x+1)-3[2^(1/3x)]-20=0 \r<BR>\n" );
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document.write( "2[2^(x/3)^2] - 3[2(x/3)] - 20 = 0\r<BR>\n" );
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document.write( "Let 2^(x/3) = w\r<BR>\n" );
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document.write( "2w^2 -3w -20 = 0\r<BR>\n" );
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document.write( "(w-4)(2w-5) = 0\r<BR>\n" );
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document.write( "w = 4 or w = 5/2<BR>\n" );
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document.write( "Therefore:<BR>\n" );
document.write( "2^(x/3) = 4 or 2^(x/3) = 5/2\r<BR>\n" );
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document.write( "2^(x/3) = 2^2 or (x/3)log2 = log(5/2)\r<BR>\n" );
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document.write( "x/3 = 2 or (x/3) = [log(5/2)]/[log2]<BR>\n" );
document.write( "x = 6 or x = 3[0.9193] = 2.7580<BR>\n" );
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document.write( "also, <BR>\n" );
document.write( "2^2x-1 -3x2^x-1 +1=0 <BR>\n" );
document.write( "(1/2)(2^x)^2 - (3/2)(2^x) +1 = 0<BR>\n" );
document.write( "Let 2^x = w<BR>\n" );
document.write( "(1/2)w^2 -(3/2)w + 1 = 0<BR>\n" );
document.write( "w^2 - 3w + 2 = 0<BR>\n" );
document.write( "(w-1)(w-2) = 0<BR>\n" );
document.write( "w = 1 or w = 2<BR>\n" );
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document.write( "2^x = 1 or 2^x = 2<BR>\n" );
document.write( "x = 0 or x = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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