document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153014>Question 153014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=In+%5E4sqrt%28ab%5E2%29 ALIGN=MIDDLE  ALT=\"In+%5E4sqrt%28ab%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I do not know how to express this in terms of sums and differences of logarithms.  Please help.  Thank you very very much.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112495 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=112495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4th root is the same as to the 1/4 power. We take powers out of logarithms as fraction coefficients.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=In+%5E4sqrt%28ab%5E2%29 ALIGN=MIDDLE  ALT=\"In+%5E4sqrt%28ab%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=1/4(ln ab^2)<BR>\n" );
document.write( "Now, multiplied variables/numbers in logarithms can be taken out as addition.<BR>\n" );
document.write( "So (1/4)(ln ab^2)=(1/4)(ln a)+(1/4)(ln b^2)<BR>\n" );
document.write( "Now, repeat the first step for the logarithm with b^2.<BR>\n" );
document.write( "So (1/4)(ln a)+(1/2)(ln b) </SPAN>\n" );
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