document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851415>Question 851415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve. log7 100 - log7 (y+5) = log7 10  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512797 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=512797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log7(100) - log7(y+5) = log7(10)<BR>\n" );
document.write( "subtract log7(10) from both sides of the equation and add log(y+5) to both sides of the equation to get:<BR>\n" );
document.write( "log7(100) - log7(10) = log7(y+5)<BR>\n" );
document.write( "since log(a) - log(b) = log(a/b), your equation becomes:<BR>\n" );
document.write( "log7(100/10) = log7(y+5)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "log7(10) = log7(y+5)<BR>\n" );
document.write( "this means that 10 = y+5 which means that y = 5.<BR>\n" );
document.write( "confirm by replacing y by 5 in the original equation to get:<BR>\n" );
document.write( "log7(100) - log7(5+5) = log7(10)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "log7(100) - log7(10) = log7(10)<BR>\n" );
document.write( "since log(a) - log(b) = log(a-b), your equation becomes:<BR>\n" );
document.write( "log7(100/10) = log7(10)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "log7(10) = log7(10)<BR>\n" );
document.write( "this confirms that the solution of y = 5 is good.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );