Bowers' Arrays II

Evaluate \(\log _{ 3 }{ n }\) where \(n\) is the value of the Bowers' array \(\{ 3,4,2\}\).

Hint: Remember that an array of the form \(\{ 3,b\}\) = \(3^b\).

Note: Bowers' Arrays are a fairly obscure notation. An explanation of them can be found here.

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