document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273098>Question 273098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)Evaluate the logarithms using the change of base formula. Round your result to three decimal places.\r<BR>\n" );
document.write( "\n" );
document.write( "log20 5\r<BR>\n" );
document.write( "\n" );
document.write( "2)Use properties of logarithms to expand the expression as a sum differences and/constant mutiple of logarithms.\r<BR>\n" );
document.write( "\n" );
document.write( "log5 x^2/y^2z^3\r<BR>\n" );
document.write( "\n" );
document.write( "3) Condense the expression to logarithm of a single quantity.\r<BR>\n" );
document.write( "\n" );
document.write( "3log3 x+4log3 y-4log3z\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199552 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=199552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Evaluate the logarithms using the change of base formula. Round your result to three decimal places. <BR>\n" );
document.write( "log20 5 = ln(5)/ln(20) = 0.5372<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "2)Use properties of logarithms to expand the expression as a sum differences and/constant mutiple of logarithms. <BR>\n" );
document.write( "log5 x^2/y^2z^3 <BR>\n" );
document.write( "= log5(x^2) - log5(y^2)-log5(z^3)<BR>\n" );
document.write( "= 2log5(x) - 2log5(y)- 3log5(z)<BR>\n" );
document.write( "------------------------------------------------<BR>\n" );
document.write( "3) Condense the expression to logarithm of a single quantity. <BR>\n" );
document.write( "3log3 x+4log3 y-4log3z<BR>\n" );
document.write( "log3(x^3) + log3(y^4) - log3(z^4)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log3[x^3*y^4/z^4]<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );