document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45454>Question 45454</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could someone explain to me the difference between a logarithm of a product and the product of logarithms and give examples of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30196 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=30196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could someone explain to me the difference between a logarithm of a product and the product of logarithms and give examples of each.\r<BR>\n" );
document.write( "\n" );
document.write( "Log of Product:<BR>\n" );
document.write( "log(4*25) = log 4 + log 25 = 0.6 + 1.4= 2<BR>\n" );
document.write( "The rule means \"the exponent of a product is the sum of the exponents\".\r<BR>\n" );
document.write( "\n" );
document.write( "Product of Logs:<BR>\n" );
document.write( "(log4)(log25) = 0.6(1.4) = 0.84<BR>\n" );
document.write( "This means \"the product of exponents is simply the product of exponents\".\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );