document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950304>Question 950304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation in logarithmic form for 16=(1/4)-2?<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 #580239 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=580239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you mean 16 = (1/4)^(-2)\r<BR>\n" );
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document.write( "if you use your calculator to evaluate this equation, you will see that:\r<BR>\n" );
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document.write( "16 = 16.\r<BR>\n" );
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document.write( "this confirms the equation is true.\r<BR>\n" );
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document.write( "the ^ symbol indicates exponentiation.\r<BR>\n" );
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document.write( "the equation is 16 = (1/4)^-2\r<BR>\n" );
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document.write( "this is in the form of y = b^x, where:\r<BR>\n" );
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document.write( "y = 16<BR>\n" );
document.write( "b = (1/4)<BR>\n" );
document.write( "x = -2\r<BR>\n" );
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document.write( "in general, y = b^x if and only if log(b,y) = x\r<BR>\n" );
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document.write( "log(b,y) means log of y to the base of b.\r<BR>\n" );
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document.write( "apply that to your problem and you get:\r<BR>\n" );
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document.write( "16 = (1/4)^-2 if and only if log(1/4,16) = -2\r<BR>\n" );
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document.write( "how do you confirm?\r<BR>\n" );
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document.write( "use your calculator and the log conversion formula that tells you that:\r<BR>\n" );
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document.write( "log(1/4,16) = log(16) / log(1/4).\r<BR>\n" );
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document.write( "remember that log without mention of the base means the base is 10.\r<BR>\n" );
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document.write( "log(16) / log(1/4) means log of 16 to the base of 10 divided by log of 1/4 to the base of 10.\r<BR>\n" );
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document.write( "log to the base of 10 is the LOG function in your calculator.\r<BR>\n" );
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document.write( "your equation becomes:\r<BR>\n" );
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document.write( "log(16) / log(1/4) = -2\r<BR>\n" );
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document.write( "use your calculator to get:\r<BR>\n" );
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document.write( "-2 = -2\r<BR>\n" );
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document.write( "this confirms the conversion is correct.\r<BR>\n" );
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