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If $ (2)^{b} $ * 4 = 2 and $(4)^{b}$ * 4 = 16, then what is the value of A in $(6)^{b}$ * A = 18?

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If $ (2)^{b} $ * 4 = 2 and $(4)^{b}$ * 4 = 16, then what is the value of A in $(6)^{b}$ * A = 18?
1). 12
2). 14
3). 16
4). 20


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