Question: Let b, r R+ where b is fixed and different from 1. (a) For all n Z+, prove that logb rn = n

Let b, r ∈ R+ where b is fixed and different from 1.
(a) For all n ∈ Z+, prove that logb rn = n logb r.
(b) Prove that logb r-n = (-n) logb r for all n ∈ Z+.

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