document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743185>Question 743185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve:<BR>\n" );
document.write( "(5/9)^x=8^(1-x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452791 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log functions are inverses of exponential functions. We have two choices. In this case we'll use log base 8 (can you see why?).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F9%29%5Ex=8%5E%281-x%29 ALIGN=MIDDLE  ALT=\"%285%2F9%29%5Ex=8%5E%281-x%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_base+8%28%285%2F9%29%5Ex%29=log_base+8%28%288%29%5E%281-x%29%29%29 ALIGN=MIDDLE  ALT=\"log_base+8%28%285%2F9%29%5Ex%29=log_base+8%28%288%29%5E%281-x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First we rewrite so that out exponents are now products and we use the fact that<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log_base+8%28%288%29%29=1 ALIGN=MIDDLE  ALT=\"log_base+8%28%288%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to simplify our equation and we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog_base+8%285%2F9%29=1-x ALIGN=MIDDLE  ALT=\"x%2Alog_base+8%285%2F9%29=1-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog_base+8%285%2F9%29%2Bx=1 ALIGN=MIDDLE  ALT=\"x%2Alog_base+8%285%2F9%29%2Bx=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28log_base+8%285%2F9%29%2B1%29=1 ALIGN=MIDDLE  ALT=\"x%2A%28log_base+8%285%2F9%29%2B1%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28log_base+8%285%2F9%29%2B1%29%2F%28log_base+8%285%2F9%29%2B1%29=1%2F%28log_base+8%285%2F9%29%2B1%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=x=1%2F%28log_base+8%285%2F9%29%2B1%29 ALIGN=MIDDLE  ALT=\"x=1%2F%28log_base+8%285%2F9%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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