document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=539106>Question 539106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate the expression\r<BR>\n" );
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document.write( "log base 4 (log base 3 81)\r<BR>\n" );
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document.write( "looks like log4(log3 81) </SPAN>\n" );
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document.write( "log base 4 (log base 3 81) <BR>\n" );
document.write( "looks like log4(log3 81)\r<BR>\n" );
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document.write( "log base 4 (log base 3 81) \r<BR>\n" );
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document.write( "We have to evaluate in two parts:\r<BR>\n" );
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document.write( "First (log base 3 81) \r<BR>\n" );
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document.write( "We know that 81 = 3^4, So\r<BR>\n" );
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document.write( "Log base 3 3^4\r<BR>\n" );
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document.write( "We know that Log base A of A^b = b*Log base A of A\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "Log base 3 3^4 = 4*Log base 3 of 3\r<BR>\n" );
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document.write( "4*Log base 3 of 3 = 4*1<BR>\n" );
document.write( "4*Log base 3 of 3 = 4\r<BR>\n" );
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document.write( "Then (log base 3 81) = 4\r<BR>\n" );
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document.write( "Now, log base 4 (log base 3 81) = log base 4 (4)  \r<BR>\n" );
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document.write( "Using the main property of Logarithms: Log base A of A = 1\r<BR>\n" );
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document.write( "log base 4 of (4)  = 1\r<BR>\n" );
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document.write( "The answer is: log base 4 (log base 3 81) = 1\r<BR>\n" );
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document.write( "Any questions, please ask me.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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