document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032137>Question 1032137</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Solve each equation for x.<BR>\n" );
document.write( "(a) 30 = 80(1 &#8722; e^&#8722;2x)<BR>\n" );
document.write( "(b) 5 × 2^x = 3^ (x&#8722;1)<BR>\n" );
document.write( "(c) log2(log3 x) = 5<BR>\n" );
document.write( "(d) e^{&#8722; 1/2 log(x^2&#8722;1) }=1/sqrt 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646948 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) 30 = 80(1 - e^-2x)<BR>\n" );
document.write( "1 - e^-2x = 0.375<BR>\n" );
document.write( "e^-2x = 0.625<BR>\n" );
document.write( "-2x = ln(0.625)<BR>\n" );
document.write( "x = -ln(0.625)/2<BR>\n" );
document.write( "x =~ 0.2350018<BR>\n" );
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document.write( "(b) 5 × 2^x = 3^ (x&#8722;1)<BR>\n" );
document.write( "Not clear.  Use * (Shift 8) for multiply, not x.<BR>\n" );
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document.write( "(c) log2(log3 x) = 5<BR>\n" );
document.write( "Ambiguous.  Add parentheses.<BR>\n" );
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document.write( "(d) e^{-1/2 log(x^2 - 1) }=1/sqrt 3<BR>\n" );
document.write( "Is it log base 10?  or ln ? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );