document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112835>Question 112835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the equation logx 4 + logx 9 = 2, what is x equal to? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82228 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First let's start with the basic logarithmic identity:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%2Cab%29=log%28x%2Ca%29%2Blog%28x%2Cb%29 ALIGN=MIDDLE  ALT=\"log%28x%2Cab%29=log%28x%2Ca%29%2Blog%28x%2Cb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using that, we can say:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%2C4%29%2Blog%28x%2C9%29=log%28x%2C4%2A9%29=log%28x%2C36%29=2 ALIGN=MIDDLE  ALT=\"log%28x%2C4%29%2Blog%28x%2C9%29=log%28x%2C4%2A9%29=log%28x%2C36%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But we also know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%2C36%29=2 ALIGN=MIDDLE  ALT=\"log%28x%2C36%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to saying:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=x%5E2 ALIGN=MIDDLE  ALT=\"36=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, taking the square root of both sides, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note that -6 which satisfies our equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=x%5E2 ALIGN=MIDDLE  ALT=\"36=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, cannot be a solution because the definition of the logarithm function says that the base must be greater than zero.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps.\r<BR>\n" );
document.write( "\n" );
document.write( "John </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );