document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447543>Question 447543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for X:\r<BR>\n" );
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document.write( "9 ^(-x-3) = 14 ^(-4x)<BR>\n" );
document.write( "Write the exact answer using base-10 logarithms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308098 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for X:\r<BR>\n" );
document.write( "\n" );
document.write( "9 ^(-x-3) = 14 ^(-4x)<BR>\n" );
document.write( "Write the exact answer using base-10 logarithms.<BR>\n" );
document.write( "Taking the logarithm of both sides gives:<BR>\n" );
document.write( "(-x-3)log9 = (-4x)log14<BR>\n" );
document.write( "Collect like terms and solve for x:<BR>\n" );
document.write( "-xlog9 + 4xlog14 = 3log9 <BR>\n" );
document.write( "(4log14 - log9)x = 3log9<BR>\n" );
document.write( "x = 3log9/(4log14 - log9) </SPAN>\n" );
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