SOLUTION: Solve the logarithm: log2(log4 256)

Question 1001239: Solve the logarithm: log2(log4 256)
Found 3 solutions by MathLover1, addingup, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

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Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
First do the calculation inside the parenthesis:
log_4(256)= 4 Now calculate log base 2 of 4:
log_2(4)= 2 This is your answer.
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NOTE: the hand-held calculators I know only calculate natural logarithms (ln) and log base 10 (log).
To calculate a log with a different base you have to use the formula:
.
Let's do one of yours, the one inside parenthesis:
I used 3 decimals to get a more accurate answer.
Now follow this example and do log_2(4). Your result should be 2.
Once you get the hang of it it's really very easy.
J
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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Solve the logarithm: log2(log4 256)
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=     <----- 256 =

=              <----- = 4

= 2.

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