document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139875>Question 139875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> These problems are froma a sample final, not a text book.\r<BR>\n" );
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document.write( "question #1  - 9^2x = 5^3x-4 solve equation<BR>\n" );
document.write( "question #2  - log(base 5)e - use change of base formula<BR>\n" );
document.write( "question #3  - log (base 2)(a^2 sqrt b^3)^4 write as summ/differ of log,express powers as factors<BR>\n" );
document.write( "question #4  - ln(9-x^2) - find domain\r<BR>\n" );
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document.write( "I am studying my sample final...finals coming soon, these 4 problems are giving me trouble...ANY HELP WOULD BE GREATLY APPRECIATED!!!!<BR>\n" );
document.write( "exponetial and logaarithmic problems are giving me major pproblems.\r<BR>\n" );
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document.write( "Thanks again for all your help!!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101947 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> question #1 - 9^(2x) = 5^(3x-4) solve equation<BR>\n" );
document.write( "Take the log of both sides:<BR>\n" );
document.write( "2xlog9 = (3x-4)log5<BR>\n" );
document.write( "xlog81 = 3xlog5 -4log5<BR>\n" );
document.write( "xlog81 = xlog15^3 - log5^4<BR>\n" );
document.write( "x(log81-log15^3) = log5^4<BR>\n" );
document.write( "x = log5^4/(log81 -log15^3)<BR>\n" );
document.write( "x = -1.7261<BR>\n" );
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document.write( "question #2 - log(base 5)e - use change of base formula<BR>\n" );
document.write( "log5 e = lne/ln5 = 1/ln5 = 0.62133...<BR>\n" );
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document.write( "question #3 - log (base 2)(a^2 sqrt b^3)^4 write as summ/differ of log,express powers as factors:<BR>\n" );
document.write( "log (base 2)(a^2 sqrt b^3)^4 = log2 (a^8 b^2)= 8log2 a + 2log2 b<BR>\n" );
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document.write( "question #4 - ln(9-x^2) - find domain <BR>\n" );
document.write( "9-x^2 > 0 <BR>\n" );
document.write( "x^2 < 9<BR>\n" );
document.write( "-3 < x < 3<BR>\n" );
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document.write( "Domain: All Real numbers except -3 < x < 3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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