document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71077>Question 71077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a work sheet w/ some natural logs that I need help with.\r<BR>\n" );
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document.write( "e^x * e^(3x) = 4\r<BR>\n" );
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document.write( "e^9 = (e^x)^3 (1/e^9)\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50800 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=50800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5Ex%29%28e%5E%283x%29%29+=+4 ALIGN=MIDDLE  ALT=\"%28e%5Ex%29%28e%5E%283x%29%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28e%5Ex%29%28e%5E%283x%29%29%29+=+ln%284%29 ALIGN=MIDDLE  ALT=\"ln%28%28e%5Ex%29%28e%5E%283x%29%29%29+=+ln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the product rule for logarithms to the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5Ex%29+%2B+ln%28e%5E%283x%29%29+=+ln%284%29 ALIGN=MIDDLE  ALT=\"ln%28e%5Ex%29+%2B+ln%28e%5E%283x%29%29+=+ln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5Ex%29+=+x ALIGN=MIDDLE  ALT=\"ln%28e%5Ex%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+3x+=+ln%284%29 ALIGN=MIDDLE  ALT=\"x+%2B+3x+=+ln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+=+ln%284%29 ALIGN=MIDDLE  ALT=\"4x+=+ln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F4%29ln%284%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F4%29ln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate using your calculator or log tables.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.3466 ALIGN=MIDDLE  ALT=\"x+=+0.3466\"   DISABLED_style= \"max-width:90%; height:auto;\" > Approximately.\r<BR>\n" );
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document.write( "2) Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E9+=+%28%28e%5Ex%29%5E3%29%281%2Fe%5E9%29 ALIGN=MIDDLE  ALT=\"e%5E9+=+%28%28e%5Ex%29%5E3%29%281%2Fe%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E9 ALIGN=MIDDLE  ALT=\"e%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5E9%29%28e%5E9%29+=+%28e%5Ex%29%5E3 ALIGN=MIDDLE  ALT=\"%28e%5E9%29%28e%5E9%29+=+%28e%5Ex%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E18+=+e%5E%283x%29 ALIGN=MIDDLE  ALT=\"e%5E18+=+e%5E%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E18%29+=+ln%28e%5E%283x%29%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E18%29+=+ln%28e%5E%283x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+=+3x ALIGN=MIDDLE  ALT=\"18+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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