document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156857>Question 156857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12^(m+5)=17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115643 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=115643\">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=12%5E%28m%2B5%29=17 ALIGN=MIDDLE  ALT=\"12%5E%28m%2B5%29=17\"   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=log%2810%2C%2812%5E%28m%2B5%29%29%29=log%2810%2C%2817%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%2812%5E%28m%2B5%29%29%29=log%2810%2C%2817%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the 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=%28m%2B5%29%2Alog%2810%2C%2812%29%29=log%2810%2C%2817%29%29 ALIGN=MIDDLE  ALT=\"%28m%2B5%29%2Alog%2810%2C%2812%29%29=log%2810%2C%2817%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%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=m%2B5=log%2810%2C%2817%29%29%2Flog%2810%2C%2812%29%29 ALIGN=MIDDLE  ALT=\"m%2B5=log%2810%2C%2817%29%29%2Flog%2810%2C%2812%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%2812%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%2812%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=m%2B5=log%2812%2C%2817%29%29 ALIGN=MIDDLE  ALT=\"m%2B5=log%2812%2C%2817%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the change of base formula to rewrite the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=log%2812%2C%2817%29%29-5 ALIGN=MIDDLE  ALT=\"m=log%2812%2C%2817%29%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-3.85983 ALIGN=MIDDLE  ALT=\"m=-3.85983\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use a calculator to evaluate the right side\r<BR>\n" );
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document.write( "So the exact answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=log%2812%2C%2817%29%29-5 ALIGN=MIDDLE  ALT=\"m=log%2812%2C%2817%29%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-3.85983 ALIGN=MIDDLE  ALT=\"m=-3.85983\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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