We have to solve 3 log 4 (a-2) = (9/2) for a

3 log(4) (a-2) = (9/2)

=> log(4) (a-2) = (9/6)

=> a - 2 = 4^(3/2)

=> a - 2 = 8

=> a = 10

**The solution for the equation is a = 10**

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