document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195397>Question 1195397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x in the equation 5^(2x+3)-6(5^x )=595 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827877 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%282x%2B3%29-6%285%5Ex+%29=595 ALIGN=MIDDLE  ALT=\"5%5E%282x%2B3%29-6%285%5Ex+%29=595\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation involves 5 to the powers (2x+3) and x.  Rewrite the equation as a \"quadratic\" with \"variable\" 5^x by writing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%282x%2B3%29 ALIGN=MIDDLE  ALT=\"5%5E%282x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%5E3%29%285%5E%282x%29%29 ALIGN=MIDDLE  ALT=\"%285%5E3%29%285%5E%282x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%285%5E%282x%29%29-6%285%5Ex%29-595=0 ALIGN=MIDDLE  ALT=\"125%285%5E%282x%29%29-6%285%5Ex%29-595=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The quadratic does not factor over the integers; a graphing calculator shows<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5Ex=2.2058744 ALIGN=MIDDLE  ALT=\"5%5Ex=2.2058744\"   DISABLED_style= \"max-width:90%; height:auto;\" > to several decimal places.  Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%285%29=log%282.2058744%29 ALIGN=MIDDLE  ALT=\"x%2Alog%285%29=log%282.2058744%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=log%282.2058744%29%2Flog%285%29=0.4915529686 ALIGN=MIDDLE  ALT=\"x=log%282.2058744%29%2Flog%285%29=0.4915529686\"   DISABLED_style= \"max-width:90%; height:auto;\" > again to several decimal places.<br><BR>\n" );
document.write( "ANSWER: x = approximately 0.4915529686<br><BR>\n" );
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