document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34875>Question 34875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. (25 pts) Write the logarithmic expression as a single logarithm and, if possible, simplify.<BR>\n" );
document.write( "Show some work.\r<BR>\n" );
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document.write( "	log 2 + log (x2 – 4) – log (5x – 10)\r<BR>\n" );
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document.write( "3. (25 pts)  Write the given logarithm in terms of sums and/or differences of log x, log y, and log z. Show some work.<BR>\n" );
document.write( "	log(x2/y sqrt z)\r<BR>\n" );
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document.write( "I have spent the last 6 hours trying to figure these out and I have no idea of how to find the answer. I think getting started is the hardest part I am unsure of where to start. I have tried removing () by mutiplying by 2 then combining, but I still seem to have to many numbers to follow the quotient rule. If at all possible can you provide a descriptive explanation of this for me. <BR>\n" );
document.write( "Thank you so much<BR>\n" );
document.write( "Minta Mattocks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21107 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=21107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the logarithmic expression as a single logarithm and, if possible, simplify.Show some work.<BR>\n" );
document.write( "	log 2 + log (x^2 – 4) – log (5x – 10)<BR>\n" );
document.write( "   =log[2(x^2-4)/(5x-10)]<BR>\n" );
document.write( "Explanation:<BR>\n" );
document.write( "When you add logs you get the log of the product: log2 + log(x^2-4)=<BR>\n" );
document.write( "log (2(x^2-4)<BR>\n" );
document.write( "When you subtract logs you get the log of the quotient.<BR>\n" );
document.write( "log A - log B = log(A/B)\r<BR>\n" );
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document.write( "3. (25 pts)  Write the given logarithm in terms of sums and/or differences of log x, log y, and log z. Show some work.<BR>\n" );
document.write( "	log(x^2/y sqrt z)<BR>\n" );
document.write( "    = logx^2-log(ysqrtz)<BR>\n" );
document.write( "    = 2logx -[logy +logsqrtz]<BR>\n" );
document.write( "    = 2logx -logy -(1/2)logz<BR>\n" );
document.write( "Explanation:  Same as for the 1st problem with this additional rule:<BR>\n" );
document.write( "log A^n = nlog A.  That's why logx^2 becomes 2logx and log sqrtz becomes<BR>\n" );
document.write( "(1/2)log z<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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