document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433757>Question 433757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1/3) to the power of x = 6 to the 1-x power\r<BR>\n" );
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document.write( "I have tried to solve this but I keep getting different answers. What are the correct steps and solution?\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300907 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1/3) to the power of x = 6 to the 1-x power <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%5Ex ALIGN=MIDDLE  ALT=\"%281%2F3%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E%281-x%29 ALIGN=MIDDLE  ALT=\"6%5E%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using natural logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%281%2F3%29%5Ex%29 ALIGN=MIDDLE  ALT=\"ln%28%281%2F3%29%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286%5E%281-x%29%29 ALIGN=MIDDLE  ALT=\"ln%286%5E%281-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the log equiv of exponents<BR>\n" );
document.write( "x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%2F3%29 ALIGN=MIDDLE  ALT=\"ln%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (1-x)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286%29 ALIGN=MIDDLE  ALT=\"ln%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the nat logs of both<BR>\n" );
document.write( "-.10986x = 1.79176(1-x)<BR>\n" );
document.write( "-.10986x = 1.79176 - 1.79176x<BR>\n" );
document.write( "1.79176x - 1.0986 = 1.79176<BR>\n" );
document.write( ".693x = 1.79176<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.79176%2F.693 ALIGN=MIDDLE  ALT=\"1.79176%2F.693\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 2.585<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this with a calc<BR>\n" );
document.write( "enter (1/3)^2.585, results .05843<BR>\n" );
document.write( "enter 6^(1-2.585), results .05843; confirms our solution of x=2.585 </SPAN>\n" );
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