document.write( "Question 1001239: Solve the logarithm: log2(log4 256) \n" ); document.write( "

Algebra.Com's Answer #618473 by addingup(3677) $\"\"$ $\"About$

You can put this solution on YOUR website!
First do the calculation inside the parenthesis:
\n" ); document.write( "log_4(256)= 4 Now calculate log base 2 of 4:
\n" ); document.write( "log_2(4)= 2 This is your answer.
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\n" ); document.write( "NOTE: the hand-held calculators I know only calculate natural logarithms (ln) and log base 10 (log).
\n" ); document.write( "To calculate a log with a different base you have to use the formula:
\n" ); document.write( " $\"log_b%28x%29=+log_d%28x%29%2Flog_d%28b%29\"$ .
\n" ); document.write( "Let's do one of yours, the one inside parenthesis:
\n" ); document.write( " $\"log_4%28256%29=+ln%28256%29%2Fln%284%29=+5.545%2F1.386+=+4\"$ I used 3 decimals to get a more accurate answer.
\n" ); document.write( "Now follow this example and do log_2(4). Your result should be 2.
\n" ); document.write( "Once you get the hang of it it's really very easy.
\n" ); document.write( "J \n" ); document.write( "

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