document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=379220>Question 379220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log base 4 of 16=<BR>\n" );
document.write( "log base 4 of 1/256=<BR>\n" );
document.write( "log base 4 of 1/16= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269571 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=269571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C+%2816%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C+%2816%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once you understand what a logarithm is, these problems become pretty easy. Logarithms are exponents. The specific logarithm, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C+%2816%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C+%2816%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is the exponent for 4 that results in 16. So we ask ourselves, what power of 4 is 16? Or 4 to what power is 16? The answer: 2! So:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C+%2816%29%29+=+2 ALIGN=MIDDLE  ALT=\"log%284%2C+%2816%29%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C+%281%2F16%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C+%281%2F16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What power of 4 is 1/16? If you understand negative exponents then you will understand that if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2+=+16 ALIGN=MIDDLE  ALT=\"4%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%28-2%29+=+1%2F16 ALIGN=MIDDLE  ALT=\"4%5E%28-2%29+=+1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C+%281%2F16%29%29+=+-2 ALIGN=MIDDLE  ALT=\"log%284%2C+%281%2F16%29%29+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C+%281%2F256%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C+%281%2F256%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I will leave this one up to you. Hint: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E4+=+256 ALIGN=MIDDLE  ALT=\"4%5E4+=+256\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " </SPAN>\n" );
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