document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372986>Question 372986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve 10^(x+4)=5^(2x), step by step? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265588 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=265588\">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=10%5E%28x%2B4%29=5%5E%282x%29 ALIGN=MIDDLE  ALT=\"10%5E%28x%2B4%29=5%5E%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2810%5E%28x%2B4%29%29=ln%285%5E%282x%29%29 ALIGN=MIDDLE  ALT=\"ln%2810%5E%28x%2B4%29%29=ln%285%5E%282x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29ln%2810%29=2x%2Aln%285%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29ln%2810%29=2x%2Aln%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponents using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5Ey%29=y%2Aln%28x%29%29 ALIGN=MIDDLE  ALT=\"ln%28x%5Ey%29=y%2Aln%28x%29%29\"   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=x%2Aln%2810%29%2B4%2Aln%2810%29=2x%2Aln%285%29 ALIGN=MIDDLE  ALT=\"x%2Aln%2810%29%2B4%2Aln%2810%29=2x%2Aln%285%29\"   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=4%2Aln%2810%29=2x%2Aln%285%29-x%2Aln%2810%29 ALIGN=MIDDLE  ALT=\"4%2Aln%2810%29=2x%2Aln%285%29-x%2Aln%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aln%2810%29 ALIGN=MIDDLE  ALT=\"x%2Aln%2810%29\"   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=4%2Aln%2810%29=x%282%2Aln%285%29-ln%2810%29%29 ALIGN=MIDDLE  ALT=\"4%2Aln%2810%29=x%282%2Aln%285%29-ln%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 'x' 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=%284%2Aln%2810%29%29%2F%282%2Aln%285%29-ln%2810%29%29=x ALIGN=MIDDLE  ALT=\"%284%2Aln%2810%29%29%2F%282%2Aln%285%29-ln%2810%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aln%285%29-ln%2810%29 ALIGN=MIDDLE  ALT=\"2%2Aln%285%29-ln%2810%29\"   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=%284%28ln%282%29%2Bln%285%29%29%29%2F%282%2Aln%285%29-%28ln%282%29%2Bln%285%29%29%29=x ALIGN=MIDDLE  ALT=\"%284%28ln%282%29%2Bln%285%29%29%29%2F%282%2Aln%285%29-%28ln%282%29%2Bln%285%29%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2810%29 ALIGN=MIDDLE  ALT=\"ln%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%2A5%29=ln%282%29%2Bln%285%29 ALIGN=MIDDLE  ALT=\"ln%282%2A5%29=ln%282%29%2Bln%285%29\"   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=%284ln%282%29%2B4ln%285%29%29%2F%282%2Aln%285%29-ln%282%29-ln%285%29%29=x ALIGN=MIDDLE  ALT=\"%284ln%282%29%2B4ln%285%29%29%2F%282%2Aln%285%29-ln%282%29-ln%285%29%29=x\"   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=%284ln%282%29%2B4ln%285%29%29%2F%28ln%285%29-ln%282%29%29=x ALIGN=MIDDLE  ALT=\"%284ln%282%29%2B4ln%285%29%29%2F%28ln%285%29-ln%282%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So the real solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284ln%282%29%2B4ln%285%29%29%2F%28ln%285%29-ln%282%29%29 ALIGN=MIDDLE  ALT=\"x=%284ln%282%29%2B4ln%285%29%29%2F%28ln%285%29-ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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