document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108433>Question 108433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this question.<BR>\n" );
document.write( "The problem is 5^x-2=4^x-1.  The answer I came up with is log4 but that doesnt seem right can you help? Thanks\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79143 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If it seems right, it should solve the equation. <BR>\n" );
document.write( "Plug the value in the equation and check the result. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28x-2%29=4%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"5%5E%28x-2%29=4%5E%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28log%284%29-2%29=4%5E%28log%284%29-1%29 ALIGN=MIDDLE  ALT=\"5%5E%28log%284%29-2%29=4%5E%28log%284%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28.6021-2%29=4%5E%28.6021-1%29 ALIGN=MIDDLE  ALT=\"5%5E%28.6021-2%29=4%5E%28.6021-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28-1.3979%29=4%5E%28-0.3979%29 ALIGN=MIDDLE  ALT=\"5%5E%28-1.3979%29=4%5E%28-0.3979%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.10542=.57602 ALIGN=MIDDLE  ALT=\".10542=.57602\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Not a true statement. Not a solution.<BR>\n" );
document.write( "Let's look at the problem.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28x-2%29=4%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"5%5E%28x-2%29=4%5E%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's use some variables now.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=5%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"A=5%5E%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=4%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"B=4%5E%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28x-2%29=4%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"5%5E%28x-2%29=4%5E%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B ALIGN=MIDDLE  ALT=\"A=B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2CA%29=log%285%2CB%29 ALIGN=MIDDLE  ALT=\"log%285%2CA%29=log%285%2CB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, you know from your log rules that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2CA%29=log%284%2CB%29%2Flog%284%2C5%29 ALIGN=MIDDLE  ALT=\"log%285%2CA%29=log%284%2CB%29%2Flog%284%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you put that all together you get,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2CA%29=log%285%2CB%29 ALIGN=MIDDLE  ALT=\"log%285%2CA%29=log%285%2CB%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%285%2CA%29=log%284%2CB%29%2Flog%284%2C5%29 ALIGN=MIDDLE  ALT=\"log%285%2CA%29=log%284%2CB%29%2Flog%284%2C5%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%284%2C5%29%2Alog%285%2CA%29=log%284%2CB%29 ALIGN=MIDDLE  ALT=\"log%284%2C5%29%2Alog%285%2CA%29=log%284%2CB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now back to A and B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=5%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"A=5%5E%28x-2%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%285%2CA%29=x-2 ALIGN=MIDDLE  ALT=\"log%285%2CA%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=4%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"B=4%5E%28x-1%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%284%2CB%29=x-1 ALIGN=MIDDLE  ALT=\"log%284%2CB%29=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C5%29%2Alog%285%2CA%29=log%284%2CB%29 ALIGN=MIDDLE  ALT=\"log%284%2C5%29%2Alog%285%2CA%29=log%284%2CB%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%284%2C5%29%2A%28x-2%29=%28x-1%29 ALIGN=MIDDLE  ALT=\"log%284%2C5%29%2A%28x-2%29=%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's define a constant, c,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=log%284%2C5%29=1.161 ALIGN=MIDDLE  ALT=\"c=log%284%2C5%29=1.161\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%28x-2%29=%28x-1%29 ALIGN=MIDDLE  ALT=\"c%28x-2%29=%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cx-2c=x-1 ALIGN=MIDDLE  ALT=\"cx-2c=x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cx-x=2c-1 ALIGN=MIDDLE  ALT=\"cx-x=2c-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%28c-1%29=2c-1 ALIGN=MIDDLE  ALT=\"x%28c-1%29=2c-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=%282c-1%29%2F%28c-1%29 ALIGN=MIDDLE  ALT=\"x=%282c-1%29%2F%28c-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substituting for the real values,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282%281.161%29-1%29%2F%281.161-1%29 ALIGN=MIDDLE  ALT=\"x=%282%281.161%29-1%29%2F%281.161-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8.213 ALIGN=MIDDLE  ALT=\"x=8.213\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check your answer.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28x-2%29=4%5E%28x-1%29 ALIGN=MIDDLE  ALT=\"5%5E%28x-2%29=4%5E%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%288.213-2%29=4%5E%288.213-1%29 ALIGN=MIDDLE  ALT=\"5%5E%288.213-2%29=4%5E%288.213-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%286.213%29=4%5E%287.213%29 ALIGN=MIDDLE  ALT=\"5%5E%286.213%29=4%5E%287.213%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22014=22011 ALIGN=MIDDLE  ALT=\"22014=22011\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Close enough from roundoff error.<BR>\n" );
document.write( "x=8.213 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );