document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405483>Question 405483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain how to use the graph of       f(x) = 2x to obtain the graph of          g(x) = log2x. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286395 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=286395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x. <BR>\n" );
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document.write( "Graph y = 2x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "g(x) = log(2x) has (0,+inf) as its domain<BR>\n" );
document.write( "so there is no g(x) on the interval (-inf,0)<BR>\n" );
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document.write( "Draw log(2x) = log(2) + logx<BR>\n" );
document.write( "= 0.3010 + log (x)<BR>\n" );
document.write( "Draw a horizontal line at y = 0.3010.<BR>\n" );
document.write( "Draw y = log(x) over the interval (0,+inf) to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-3%2C3%2C0.3010%2Clog%2810%2C2x%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-3%2C3%2C0.3010%2Clog%2810%2C2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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