Question: Discrete mathematics Problem 6: Prove that for every positive real x,xlog2x=2log22x. Use properties of logarithms we discussed in class. Problem 7: Use the definitions of

Discrete mathematics

Problem 6: Prove that for every positive real x,xlog2x=2log22x. Use properties of logarithms we discussed in class. Problem 7: Use the definitions of the floor and the ceiling functions to prove that if x is a real number and n. is an integer then (a) xn if and only if [x]n (b) nx if and only if nx

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