Question: (3 points) In this problem it will be useful to recall the following properties of logarithms: log(xy)-log(x) log(y) and logr)a log(x) Find the least integer

(3 points) In this problem it will be useful to recall the following properties of logarithms: log(xy)-log(x) log(y) and logr)a log(x) Find the least integer k such that f(n) is 0(nk) for each of the following functions: (a)f(n) = n log(4" ) (b)f(n) 162n6 (c)f(n) log(n!) (d)f(n) = log(r) 6+1

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