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irspow
I think you meant...

3^(3x-7)=81^(12-3x)    (note that 81=3^4) so

3^(3x-7)=3^4^(12-3x)

3^(3x-7)=3^(48-12x)  taking log or natural log of both sides show that

3x-7=48-12x

15x=55

x=11/3
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