document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48217>Question 48217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to answer a question that reads: \"Explain the difference between a logarithm of a product and the product of logarithms and give examples of each\"  I understand the product of a logarithm is the sum of the logarithm however I do not understand the difference?\r<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 #31900 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=31900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am trying to answer a question that reads: \"Explain the difference between a logarithm of a product and the product of logarithms and give examples of each\"  I understand the product of a logarithm is the sum of the logarithm however I do not understand the difference?\r<BR>\n" );
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document.write( "There is no way to \"explain the difference\".  They are simply different. PERIOD.<BR>\n" );
document.write( "As you say the log of a product is the sum of the log of the factors <BR>\n" );
document.write( "because when we multiply to numbers that are expressed as the product <BR>\n" );
document.write( "of numbers written as powers of the same base, we add the exponents.\r<BR>\n" );
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document.write( "If we want to multiply these exponents (logarithms) we can. But these is<BR>\n" );
document.write( "no DIFFERENCE that can be formulated.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan  </SPAN>\n" );
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