document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868461>Question 868461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If, log 'e' 2 * log 'b' 625 = log '10' 16 * log 'e' 10. What is b?<BR>\n" );
document.write( "Here, 'e' , 'b' and '10' are the respective bases. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523581 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=523581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If, log 'e' 2 * log 'b' 625 = log '10' 16 * log 'e' 10. What is b?<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "log(2)/log(e) + log(625)/log(b) = log(16)/log(10) + log(10)/log(e)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "ln(2)-ln(10) = log10(16)- logb(625)<BR>\n" );
document.write( "ln(1/5) = ln(16)/ln(10) - ln(625)/ln(b)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "-1.609 = 1.204 - [ln(625)/ln(b)]<BR>\n" );
document.write( "2.813 = 6.438/ln(b)<BR>\n" );
document.write( "ln(b) = 2.289<BR>\n" );
document.write( "b = 9.862<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );