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3 Fun with Logarithms (25 pts) (a) (5 pts) Prove the following identity: nog n = 2 (b) (16 pts) Simplify the following expressions. Show

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3 Fun with Logarithms (25 pts) (a) (5 pts) Prove the following identity: nog n = 2 (b) (16 pts) Simplify the following expressions. Show your work. nlogg 9 plog 8 n (1/log3 n) n/(zlog, n) (c) (4 pts) Order the expressions in part (b) according to their asymptotic growth, from the lowest to the highest. Justify your answers

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