document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193789>Question 193789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I have a problem with the following exponential equation, each time I try to solve it, I keep getting the wrong answer, could you look at my work and see what I am doing wrong?  Thank you in advance.\r<BR>\n" );
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document.write( " Problem : 2^2x+4=3^x-21\r<BR>\n" );
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document.write( "This is what I have done so far :\r<BR>\n" );
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document.write( "ln(2)^2x+4=ln(3)^x-21<BR>\n" );
document.write( "(2x+4)ln(2)= (x-21)ln(3)<BR>\n" );
document.write( "2x*ln(2)+4*ln(2)=x*ln(3)-21*ln(3)<BR>\n" );
document.write( "2x*ln(2)+x*ln(3)= -4*ln(2)-21*ln(3)<BR>\n" );
document.write( "x(ln(3)+2*ln(2))=4*ln(2)-21*ln(3)<BR>\n" );
document.write( "x= 4*ln(2)-21*ln(3)/ln(3)+2*ln(2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145490 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=145490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> very  good  work<BR>\n" );
document.write( "looking  at  line  4,  the  (+xln3)  should  be (-xln3)<BR>\n" );
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document.write( "we  tried<BR>\n" );
document.write( "(2x+4)ln2 = (x-21) ln3<BR>\n" );
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document.write( "(2x+4)= (ln3/ln2)(x-21) = 1.58496 ( x-21) = 1.58496 x - 33.284<BR>\n" );
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document.write( ".415 x = -37.284<BR>\n" );
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document.write( "x= (-89.8415)  ANSWER<BR>\n" );
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document.write( "checking<BR>\n" );
document.write( "2^( 2(-89.8)+4) = 3^( (-89.4)-21)<BR>\n" );
document.write( "2^-175.7 = 3^-110.84<BR>\n" );
document.write( "1.3 x 10^-53 = 1.3 x 10^-53 ,,,ok<BR>\n" );
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document.write( "Keep  up  the  good  work </SPAN>\n" );
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