document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=642127>Question 642127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have been studying logarithms and i just cannot seem to understand them, so if someone would be so kind as to help me with this question and explain logarithms in the simplest way possible for me i would be very greatful.\r<BR>\n" );
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document.write( "Please note the \"a\" in this logarithm is subscript, not sure if that effects how to work it out or not.<BR>\n" );
document.write( "Given logab = 3, use the properties of logarithms to evaluate \r<BR>\n" );
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document.write( "4loga1/b + 2logab^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404105 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=404105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i have been studying logarithms and i just cannot seem to understand them, so if someone would be so kind as to help me with this question and explain logarithms in the simplest way possible for me i would be very greatful. <BR>\n" );
document.write( "Please note the \"a\" in this logarithm is subscript, not sure if that effects how to work it out or not.<BR>\n" );
document.write( "Given logab = 3, use the properties of logarithms to evaluate <BR>\n" );
document.write( "4loga1/b + 2logab^3<BR>\n" );
document.write( "**<BR>\n" );
document.write( "In logs you must be able to identify 3 components:<BR>\n" );
document.write( "The base<BR>\n" );
document.write( "log of the number<BR>\n" );
document.write( "the number<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "a is the common base for both terms<BR>\n" );
document.write( "loga(b)=3 (given), reads: log of b, base a,=3<BR>\n" );
document.write( "1/b is the number for the 1st term<BR>\n" );
document.write( "b^3 is the number for the 2nd term\r<BR>\n" );
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document.write( "..<BR>\n" );
document.write( "loga(1/b)=loga(b^-1)=-1loga(b)=-1*3=-3 (use exponent rule)<BR>\n" );
document.write( "4loga(1/b)=4*-3=-12<BR>\n" );
document.write( "..<BR>\n" );
document.write( "loga(b^3)=3loga(b)=3*3=9 (use exponent rule)<BR>\n" );
document.write( "2loga(b^3)=2*9=18<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4loga(1/b) + 2loga(b^3)=-12+18=6 </SPAN>\n" );
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