document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587847>Question 587847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation: loga^x-loga^(x-5)=loga^6<BR>\n" );
document.write( "log of a to x minus log of a to x-5 equals lof of a to the six<BR>\n" );
document.write( "We are supposed to use the properties of logarithms to solve this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374289 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=374289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation: loga^x-loga^(x-5)=loga^6<BR>\n" );
document.write( "log of a to x minus log of a to x-5 equals lof of a to the six<BR>\n" );
document.write( "We are supposed to use the properties of logarithms to solve this problem.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "loga^x-loga^(x-5)=loga^6<BR>\n" );
document.write( "loga^x-loga^(x-5)-loga^6=0<BR>\n" );
document.write( "loga^x-(loga^(x-5)+loga^6)=0<BR>\n" );
document.write( "place under a single log<BR>\n" );
document.write( "log[(a^x)/a^(x-5)*a^6]=0<BR>\n" );
document.write( "convert to exponential form: base(10) raised to log of number(0)=number(a^x)/a^(x-5)*a^6<BR>\n" );
document.write( "10^0=(a^x)/a^(x-5)*a^6=1<BR>\n" );
document.write( "(a^x)=a^(x-5)*a^6<BR>\n" );
document.write( "a^x=a^(x-5+6)=a^(x+1)<BR>\n" );
document.write( "x=x+1<BR>\n" );
document.write( "0&#8800;1 (no solution) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );