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Compute:

I am very unfamiliar with the concept of flooring and ceiling, and I am at a loss on where to start with this problem.

\(\lfloor \log_3 1000 \rfloor\)

 May 10, 2023
 #1
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By change of base, log_3 1000 = log(1000)/log(3) = 3/1.0986... = 2.730...

 

Taking the floor, we get an answer of 2. 

 May 10, 2023
 #2
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log(3, 1000) ==log(1000) / log(3) ==3 / 0.47712125==6.2877 ==6 (rounded down - which is the same as its floor)

 May 10, 2023

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