document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249342>Question 249342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%5E%28x-4%29=0.5%5E%285-2x%29+ ALIGN=MIDDLE  ALT=\"+4%5E%28x-4%29=0.5%5E%285-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181609 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=181609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%5E%28x-4%29=0.5%5E%285-2x%29+ ALIGN=MIDDLE  ALT=\"+4%5E%28x-4%29=0.5%5E%285-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%5E2%29%5E%28x-4%29=%281%2F2%29%5E%285-2x%29+ ALIGN=MIDDLE  ALT=\"+%282%5E2%29%5E%28x-4%29=%281%2F2%29%5E%285-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5 ALIGN=MIDDLE  ALT=\"0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%5E2%29%5E%28x-4%29=%282%5E%28-1%29%29%5E%285-2x%29+ ALIGN=MIDDLE  ALT=\"+%282%5E2%29%5E%28x-4%29=%282%5E%28-1%29%29%5E%285-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28-1%29 ALIGN=MIDDLE  ALT=\"2%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%282%28x-4%29%29+=2%5E%28-%285-2x%29%29+ ALIGN=MIDDLE  ALT=\"+2%5E%282%28x-4%29%29+=2%5E%28-%285-2x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-4%29=-%285-2x%29 ALIGN=MIDDLE  ALT=\"2%28x-4%29=-%285-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the bases are equal, the exponents are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-8=-5%2B2x ALIGN=MIDDLE  ALT=\"2x-8=-5%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=-5%2B2x%2B8 ALIGN=MIDDLE  ALT=\"2x=-5%2B2x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2x=-5%2B8 ALIGN=MIDDLE  ALT=\"2x-2x=-5%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x=-5%2B8 ALIGN=MIDDLE  ALT=\"0x=-5%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x=3 ALIGN=MIDDLE  ALT=\"0x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=3 ALIGN=MIDDLE  ALT=\"0=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.\r<BR>\n" );
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document.write( "Since this equation is <font size=4><b>never</b></font> true for any x value, this means that there are no solutions.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So there are no solutions to the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%5E%28x-4%29=0.5%5E%285-2x%29+ ALIGN=MIDDLE  ALT=\"+4%5E%28x-4%29=0.5%5E%285-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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