document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088005>Question 1088005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation<BR>\n" );
document.write( "A) 9 log 5 base x = log x base 5\r<BR>\n" );
document.write( "\n" );
document.write( "B) log x/2 base 8 = log x base 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702351 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following equation<BR>\n" );
document.write( "A) 9 log 5 base x = log x base 5 <BR>\n" );
document.write( "B) log x/2 base 8 = log x base 2\r<BR>\n" );
document.write( "\n" );
document.write( "—————————————————————————\r<BR>\n" );
document.write( "\n" );
document.write( "A)  I don't see how to solve this without using an iterative technique<BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9log%28x%2C%285%29%29+=+log%285%2C%28x%29%29+ ALIGN=MIDDLE  ALT=\"+9log%28x%2C%285%29%29+=+log%285%2C%28x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28x%2C%285%29%29+=+%281%2F9%29%2Alog%285%2C%28x%29%29+ ALIGN=MIDDLE  ALT=\"+log%28x%2C%285%29%29+=+%281%2F9%29%2Alog%285%2C%28x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%283%2C3%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C+x%5E%28log%28x%2C%285%29%29%29%2C+%22+=+%22%2C+x%5E%28%281%2F9%29%2Alog%285%2C%28x%29%29+%29%29+%29++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%283%2C3%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C+5%2C+%22+=+%22%2C+x%5E%28%281%2F9%29%2Alog%285%2C%28x%29%29+%29%29+%29++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%283%2C3%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C+++x%5E%28%281%2F9%29%2Alog%285%2C%28x%29%29+%29+-+5%2C+%22+=+%22%2C+0+%29++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "—  Maybe another tutor has a better solution.  I would be tempted to iterate the last equation until it is (close enough to) zero.   \r<BR>\n" );
document.write( "\n" );
document.write( "—————————————————————————<BR>\n" );
document.write( "This one is easily solved\r<BR>\n" );
document.write( "\n" );
document.write( "B) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%288%2C+%28x%2F2%29%29+=+log%282%2C%28x%29%29+ ALIGN=MIDDLE  ALT=\"+log%288%2C+%28x%2F2%29%29+=+log%282%2C%28x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C3%2C%22%22%2C%22%22%2C%22%22%2C+8%5Elog%288%2C%28x%2F2%29%29%2C+%22=%22%2C+8%5Elog%282%2C%28x%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C3%2C%22%22%2C%22%22%2C%22%22%2C++x%2F2+%2C+%22=%22%2C+%282%5E3%29%5Elog%282%2C%28x%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C3%2C%22%22%2C%22%22%2C%22%22%2C++x%2F2+%2C+%22=%22%2C+%282%5Elog%282%2C%28x%29%29%29%5E3+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%281%2C3%2C++x%2F2+%2C+%22=%22%2C+x%5E3+%29+ ALIGN=MIDDLE  ALT=\"+matrix%281%2C3%2C++x%2F2+%2C+%22=%22%2C+x%5E3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%281%2C3%2C++1%2F2+%2C+%22=%22%2C+x%5E2+%29+ ALIGN=MIDDLE  ALT=\"+matrix%281%2C3%2C++1%2F2+%2C+%22=%22%2C+x%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+matrix%281%2C3%2C++x+%2C+%22=%22%2C++sqrt%282%29%2F2%29+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+matrix%281%2C3%2C++x+%2C+%22=%22%2C++sqrt%282%29%2F2%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "——<BR>\n" );
document.write( "7/18/17 - I can't believe I overlooked that property, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%2Cb%29+=+1%2F%28log%28b%2Ca%29%29+ ALIGN=MIDDLE  ALT=\"+log%28a%2Cb%29+=+1%2F%28log%28b%2Ca%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is easy enough to derive from the change-of-base calculation.    Thanks tutor Ikleyn!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );