document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=521866>Question 521866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given log base 16 of u = 3.7\r<BR>\n" );
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document.write( "log base 4 of u^100\r<BR>\n" );
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document.write( "how do i go about solving this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348141 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=348141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given log base 16 of u = 3.7 <BR>\n" );
document.write( "log base 4 of u^100 <BR>\n" );
document.write( "how do i go about solving this<BR>\n" );
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document.write( "log16(u)=3.7<BR>\n" );
document.write( "u=16^3.7<BR>\n" );
document.write( "..<BR>\n" );
document.write( "log4(u^100)=log4[(16^3.7)^100]=log4[16^3700]<BR>\n" );
document.write( "Exponential form: base(4) raised to log of number(x)=number(16^3700)<BR>\n" );
document.write( "4^x=16^3700=(4^2)^3700=4^7400<BR>\n" );
document.write( "x=7400<BR>\n" );
document.write( "log4(u^100)=7400<BR>\n" );
document.write( "u^100=4^7400<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( "100logu=7400log4<BR>\n" );
document.write( "logu=7400*log4/log100=7400*log4/2=2227.6<BR>\n" );
document.write( "u=10^2227.6 </SPAN>\n" );
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