document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206690>Question 1206690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If:<BR>\n" );
document.write( "log₂x + log₄x + log₁₆x = 21/4<BR>\n" );
document.write( "find x.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844277 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3835)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=844277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red size=4>x = 8</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Work Shown\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "w = log(x)<BR>\n" );
document.write( "v = log(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2v = 2*log(2) = log(2^2) = log(4)<BR>\n" );
document.write( "4v = 4*log(2) = log(2^4) = log(16)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28x%29%29+%2B+log%284%2C%28x%29%29+%2B+log%2816%2C%28x%29%29+=+21%2F4 ALIGN=MIDDLE  ALT=\"log%282%2C%28x%29%29+%2B+log%284%2C%28x%29%29+%2B+log%2816%2C%28x%29%29+=+21%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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%28%28x%29%29%2Flog%28%282%29%29%2Blog%28%28x%29%29%2Flog%28%284%29%29%2Blog%28%28x%29%29%2Flog%28%2816%29%29+=+21%2F4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Change of base rule\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Fv%2Bw%2F%282v%29%2Bw%2F%284v%29+=+21%2F4 ALIGN=MIDDLE  ALT=\"w%2Fv%2Bw%2F%282v%29%2Bw%2F%284v%29+=+21%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2Fv%29%281%2B1%2F2%2B1%2F4%29+=+21%2F4 ALIGN=MIDDLE  ALT=\"%28w%2Fv%29%281%2B1%2F2%2B1%2F4%29+=+21%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2Fv%29%287%2F4%29+=+21%2F4 ALIGN=MIDDLE  ALT=\"%28w%2Fv%29%287%2F4%29+=+21%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Fv+=+%2821%2F4%29%2A%284%2F7%29 ALIGN=MIDDLE  ALT=\"w%2Fv+=+%2821%2F4%29%2A%284%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Fv+=+3 ALIGN=MIDDLE  ALT=\"w%2Fv+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+3v ALIGN=MIDDLE  ALT=\"w+=+3v\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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%28%28x%29%29+=+3%2Alog%28%282%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%29%29+=+3%2Alog%28%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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%28%28x%29%29+=+log%28%282%5E3%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%29%29+=+log%28%282%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \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%28%28x%29%29+=+log%28%288%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%29%29+=+log%28%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+8 ALIGN=MIDDLE  ALT=\"x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );