Question: 1 . Show that ( a ) apowern is not equal to O ( bpowern ) ifa > b > 1 . ( b )

1. Show that
(a) apowern is not equal to O(bpowern)ifa>b>1.
(b) f(n)+g(n)=\Theta (max(f(n),g(n)))
2. Prove or disprove: log9 n =\Theta (log3 n).

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