document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302096>Question 302096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express as a sum, difference, and product of logarithms, without using exponents.\r<BR>\n" );
document.write( "\n" );
document.write( "log b 4 square root x^5b^9 / y^7z^10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216750 by </B><A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><B>london maths tutor(243)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><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/cgi-bin/show-face.mpl?user=london+maths+tutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log b 4 square root x^5b^9 / y^7z^10\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/2* logb 4* (x^5b^9 / y^7z^10)\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/2*logb 4 + 1/2*logb (x^5b^9 / y^7z^10)\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/2*logb 4 + 1/2*logb (x^5b^9) - 1/2*logb (y^7z^10)\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/2*logb 4 + 1/2*logb (x^5) + 1/2*logb (b^9)-1/2*log(y^7) + 1/2*log(z^10)\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/2*logb 4 + 5/2*logb (x) + (9/2) - 7/2*log (y) + 5* log(z) \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );