document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037867>Question 1037867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the expression without using a calculator:\r<BR>\n" );
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document.write( "Log base 4 4^8 = ?\r<BR>\n" );
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document.write( "I know the answer is 8 now but I'm not sure what the general rule is for solving this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652513 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=652513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let log4(4^8) = y<BR>\n" );
document.write( "by the basic definition of logarithms, log4(4^8) = y if and only if 4^y = 4^8.<BR>\n" );
document.write( "4^y = 4^8 when y = 8.\r<BR>\n" );
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document.write( "you can also solve using your calculator as follows:\r<BR>\n" );
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document.write( "start with log4(4^8)<BR>\n" );
document.write( "convert log of base 4 to the log of base 10 using the log base conversion formula.<BR>\n" );
document.write( "you will get log4(4^8) = log10(4^8) / log10(4)<BR>\n" );
document.write( "since log function of the calculator is the same as log10, then use your calculator to solve.<BR>\n" );
document.write( "you get log10(4^8) / log10(4) = log(4^8)/log(4) which is equal to 8.\r<BR>\n" );
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document.write( "if you need a lesson on logs, then try this tutorial.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps<BR>\n" );
document.write( "/math/mathlab/col_algebra/index.htm</a><BR>\n" );
document.write( "look at tutorials 42 through 47, paying special attention to 42 and 43 as they introduce the topic to you.<BR>\n" );
document.write( "logs and exponents are related so it's good to know about exponential functions before looking at logs if you're not familiar with them.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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