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Prove or disprove each of the following statements. ( i ) if log ( f ( n ) ) in Omega ( log (

Prove or disprove each of the following statements. $($ i $)$ if log $($ f $($ n $))$ in $\$ Omega $($ log $($ g $($ n $)))$ then f $($ n $)$ in $\$ Omega $($ g $($ n $)) .$

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Prove or disprove each of the following statements. ( i ) if log ( f ( n ) ) in Omega ( log (

Prove or disprove each of the following statements. (i) if log(f(n)) in \Omega (log(g(n))) then f(n) in \Omega (g(n)).

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Prove or disprove each of the following statements. $($ i $)$ if log $($ f $($ n $))$ in $\$ Omega $($ log $($ g $($ n $)))$ then f $($ n $)$ in $\$ Omega $($ g $($ n $)) .$