document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032859>Question 1032859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this for x ?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%28+2+%2C+2x%29+ ALIGN=MIDDLE  ALT=\"+log+%28+2+%2C+2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%282+%2C+x%29+ ALIGN=MIDDLE  ALT=\"+log+%282+%2C+x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
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document.write( "I'm not really sure about how to even start off this problem but I feel like an e will be involved. Please please help, thank you so much. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647454 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You do not need e here.\r<BR>\n" );
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document.write( "Use the fact that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \log_{b} x + \log_b {y} = \log_b {xy}\">. So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \log_2 2x + \log_2 x = \log_2 2x^2 = 5\">.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \log_2 32 = 5\">, we must have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 2x^2 = 32 \Leftrightarrow x^2 = 16\">. Assuming we only define log on the positive real numbers, the only solution is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large x = 4\"> (x = -4 introduces logs of negative numbers). </SPAN>\n" );
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