document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40801>Question 40801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of the product (log2^3)(log3^5)(log5^8)?<BR>\n" );
document.write( "(Solve algebraically) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26204 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=26204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the value of the product (log2^3)(log3^5)(log5^8)?<BR>\n" );
document.write( "(Solve algebraically)\r<BR>\n" );
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document.write( "You can't do this algebraically the way you have posted it.<BR>\n" );
document.write( "I believe your problem reads as follows:\r<BR>\n" );
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document.write( "[log(base2)3]\r<BR>\n" );
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document.write( "Using the Log Rule which says log(base a)b = (logb)/(loga)<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( " log3/log2*log5/log3*log8/log5\r<BR>\n" );
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document.write( "There is some canceling you can do with the following result:<BR>\n" );
document.write( "lo8/log2= log(base2)8 = 3<BR>\n" );
document.write( "So the final result is \"3\"<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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