document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627566>Question 627566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I need help solving 2 equations involving Logarithms. <BR>\n" );
document.write( "How do I correctly graph the equation bellow on the same coordinate plane?\r<BR>\n" );
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document.write( "Question #1: F(x)= 2^-x  and G(x)= 4^x\r<BR>\n" );
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document.write( "Question #2:\r<BR>\n" );
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document.write( "How do I solve/or rewrite this equation as a single quantity? \r<BR>\n" );
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document.write( "log^2 (x) + log^2 (x+2) = log^2 (x +6)\r<BR>\n" );
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document.write( "Please help me! LOL \r<BR>\n" );
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document.write( "-Cass </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395481 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=395481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello! I need help solving 2 equations involving Logarithms. <BR>\n" );
document.write( "How do I correctly graph the equation bellow on the same coordinate plane.<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "Question #1: F(x)= 2^-x and G(x)= 4^x<BR>\n" );
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document.write( "For F(x)=2^-x=1/2^x<BR>\n" );
document.write( "Domain: (-&#8734;,&#8734;)<BR>\n" );
document.write( "Range: (0,&#8734;)<BR>\n" );
document.write( "Horizontal asymptote: x-axis or y=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For F(x)=4^x<BR>\n" );
document.write( "Domain: (-&#8734;,&#8734;)<BR>\n" );
document.write( "Range: (0,&#8734;)<BR>\n" );
document.write( "Horizontal asymptote: x-axis or y=0\r<BR>\n" );
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document.write( "See graph below: Green curve is 4^x and red curve is 2^-x or 1/2^x<BR>\n" );
document.write( "Note that both curves have a y-intercept=1 (2^0=1)<BR>\n" );
document.write( "Also note both functions are always >0<BR>\n" );
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document.write( "Question #2: <BR>\n" );
document.write( "How do I solve/or rewrite this equation as a single quantity? <BR>\n" );
document.write( "log^2 (x) + log^2 (x+2) = log^2 (x +6)<BR>\n" );
document.write( "log^2[ (x) (x+2)] = log^2 (x +6)<BR>\n" );
document.write( "x(x+2)=x+6<BR>\n" );
document.write( "x^2+2x=x+6<BR>\n" );
document.write( "x^2+x-6=0<BR>\n" );
document.write( "(x+3)(x-2)=0<BR>\n" );
document.write( "x=-3 (reject, x>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2\r<BR>\n" );
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