document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543513>Question 543513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (5/4)^x=16/25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356867 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=356867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (5/4)^x=16/25<BR>\n" );
document.write( "(5/4)^x=(4/5)^2=1/(4^-2/5^-2)=5^-2/4^-2=(5/4)^-2<BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "using logs with calculator:<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( "xlog(5/4)=log(16/25)<BR>\n" );
document.write( "x=log(16/25)/log(5/4)<BR>\n" );
document.write( "x=-2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );