document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111709>Question 1111709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (c,d) is a point on the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log+%28b%2C+a%29 ALIGN=MIDDLE  ALT=\"y=log+%28b%2C+a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, what point must be on the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log+%281%2Fb%2C+a%29 ALIGN=MIDDLE  ALT=\"y=log+%281%2Fb%2C+a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726718 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=726718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (c,d) is a point on the graph so  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+log%28b%2C+%28c%29%29+ ALIGN=MIDDLE  ALT=\"+d+=+log%28b%2C+%28c%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   —> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E%28d%29+=+c+ ALIGN=MIDDLE  ALT=\"+b%5E%28d%29+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "If you take the reciprocal of the base, b becomes 1/b and the exponent must be negated to obtain c:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2Fb%29%5E%28-d%29+=+c++ ALIGN=MIDDLE  ALT=\"+%281%2Fb%29%5E%28-d%29+=+c++\"   DISABLED_style= \"max-width:90%; height:auto;\" >  equivalent to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%281%2Fb%2C%28c%29%29+=+-d+ ALIGN=MIDDLE  ALT=\"+log%281%2Fb%2C%28c%29%29+=+-d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+matrix%281%2C3%2C+%22+%22%2C+%22+%28+c%2C-d%29%22%2C+%22+%22%29+%29++ ALIGN=MIDDLE  ALT=\"+highlight%28+matrix%281%2C3%2C+%22+%22%2C+%22+%28+c%2C-d%29%22%2C+%22+%22%29+%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >  must be a point on the graph\r<BR>\n" );
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document.write( "Example/sanity check: <BR>\n" );
document.write( "                 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2810%2C%28100%29%29+=+2+ ALIGN=MIDDLE  ALT=\"+log%2810%2C%28100%29%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%5E2+=+100+ ALIGN=MIDDLE  ALT=\"+10%5E2+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%281%2F10%2C+%28100%29%29+=+-2+ ALIGN=MIDDLE  ALT=\"+log%281%2F10%2C+%28100%29%29+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F10%29%5E%28-2%29+=+%2810%5E%28-1%29%29%5E%28-2%29+=+10%5E%28%28-1%29%28-2%29%29+=+10%5E2+=++100+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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