document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747371>Question 747371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Knowing that x = 2 and log(base a)y = 3 calculate the numerical value of the following<BR>\n" );
document.write( "a) log(base a)x^3y^2 <BR>\n" );
document.write( "b) log(base a) (a^3x^2/y^2)\r<BR>\n" );
document.write( "\n" );
document.write( "Can you please help me out? Thanks so much in advance<BR>\n" );
document.write( "Can you also show me the steps it would really help me understand:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454865 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=454865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Knowing that x = 2 and log(base a)y = 3 calculate the numerical value of the following<BR>\n" );
document.write( "a) log(base a)x^3y^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= loga(x^3)+loga(y^2)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 3loga(x) + 2loga(y)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 3loga(2) + 2loga(3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= loga(8) + loga(9)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= loga(72)<BR>\n" );
document.write( "===================================== <BR>\n" );
document.write( "b) log(base a) (a^3x^2/y^2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= loga(a^3) + loga(x^2) - loga(y^2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 3 + 2loga(2) -2loga(3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 3 + loga(4) - loga(9)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 3 + loga[4/9]<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );