document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979915>Question 979915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve. 625^x-4= 25^x+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601156 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52800)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "What equation would you solve: this one\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=625%5Ex ALIGN=MIDDLE  ALT=\"625%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5Ex ALIGN=MIDDLE  ALT=\"25%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "or this one\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=625%5E%28x-4%29 ALIGN=MIDDLE  ALT=\"625%5E%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E%28x%2B5%29 ALIGN=MIDDLE  ALT=\"25%5E%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ???\r<BR>\n" );
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document.write( "You can answer me in the &nbsp;&nbsp;>>>Tnanks you<<<&nbsp;&nbsp; section. \r<BR>\n" );
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document.write( "<B>Comment from student</B>: &nbsp;The 2nd one you mentioned is what i'm looking for with x-4 being a whole exponent and the x+5 being an exponent.<BR>\n" );
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document.write( "OK.\r<BR>\n" );
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document.write( "So, &nbsp;our equation is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=625%5E%28x-4%29 ALIGN=MIDDLE  ALT=\"625%5E%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E%28x%2B5%29 ALIGN=MIDDLE  ALT=\"25%5E%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note that 625 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E2 ALIGN=MIDDLE  ALT=\"25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Therefore, &nbsp;you can write the original equation in the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E%282%28x-4%29%29 ALIGN=MIDDLE  ALT=\"25%5E%282%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E%28x%2B5%29 ALIGN=MIDDLE  ALT=\"25%5E%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "It gives you the equation for exponents\r<BR>\n" );
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document.write( "2(x-4) = x + 5.\r<BR>\n" );
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document.write( "It is easy to solve. &nbsp;Simplify it step by step:\r<BR>\n" );
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document.write( "2x - 8 = x + 5,\r<BR>\n" );
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document.write( "x = 13.\r<BR>\n" );
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document.write( "Indeed, &nbsp;2(x-4) = 2(13-4) = 2*9 = 18, &nbsp;and &nbsp;x + 5 = 13 + 5 = 18.\r<BR>\n" );
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document.write( "<B>Answer</B>. &nbsp;x = 13\r<BR>\n" );
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document.write( "<B>Note</B>. &nbsp;For solving exponential equations see my lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/How-to-solve-exponential-equations.lesson>Solving exponential equations</A>&nbsp; in this site. \r<BR>\n" );
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