document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382220>Question 382220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a)  3^(2x) = 5  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "(b) 2e^(x&#8722;1) = 7<BR>\n" );
document.write( " <BR>\n" );
document.write( "(c) 5^(1&#8722;x) = 10^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270957 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=270957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)  3^(2x) = 5<BR>\n" );
document.write( "2x*log(3) = log(5)<BR>\n" );
document.write( "x = log(5)/(2log(3))<BR>\n" );
document.write( "It's calculator work from there.<BR>\n" );
document.write( "  ----------------------<BR>\n" );
document.write( "(b) 2e^(x-1) = 7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28x-1%29+=+3.5 ALIGN=MIDDLE  ALT=\"e%5E%28x-1%29+=+3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-1 = ln(3.5)<BR>\n" );
document.write( "etc<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(c) 5^(1-x) = 10^x<BR>\n" );
document.write( "(1-x)*log(5) = x<BR>\n" );
document.write( "log(5) - x*log(5) = x<BR>\n" );
document.write( "log(5) = x + x*log(5)<BR>\n" );
document.write( "x*(1 + log(5)) = log(5)<BR>\n" );
document.write( "x = log(5)/(log(5) + 1)<BR>\n" );
document.write( "Calculator work<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );