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.

\(\lfloor \log_3 1000 \rfloor\)

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.

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