document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207833>Question 207833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log(5)^(x)-log(5)^(x-20)=1<BR>\n" );
document.write( "log(2)^(x)+5=8-log(2)^(x+7)\r<BR>\n" );
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document.write( "I need help with finding the answer and the steps to getting the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157209 by </B><A HREF=/tutors/aboutme.mpl?userid=dlam5><B>dlam5(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dlam5><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=157209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%29%5E%28x%29-log%285%29%5E%28x-20%29=1 ALIGN=MIDDLE  ALT=\"log%285%29%5E%28x%29-log%285%29%5E%28x-20%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take log(5)^x; by logarithm properties, take the x out of the exponent, which is...\r<BR>\n" );
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document.write( "x log(5) ;\r<BR>\n" );
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document.write( "Now, take log(5)^(x-20); and do the same DISTRIBUTIVE property of log by taking...\r<BR>\n" );
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document.write( "(x-20) log 5;  now distribute the log 5 for x and 20; this then cleans up to be...\r<BR>\n" );
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document.write( "xlog5 - 20log5.\r<BR>\n" );
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document.write( "Your equation should come out to be  xlog5 - xlog5 -20log5 =1.\r<BR>\n" );
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document.write( "But, look closely;  XLOG5 - XLOG5= 0; so x doesn;t have an answer as a variable.\r<BR>\n" );
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document.write( "Therfore, this equation is the EMPTY SET (undefined).\r<BR>\n" );
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document.write( "Try the next one in the same manner, and e-mail me if you need any help.\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "dlam5 :) </SPAN>\n" );
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