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Step-by-step explanation:
9^(x+1) - 9^x = 24
9.9^x-9^x = 24
9^x(9-1) = 24
9^x = 24/8 = 3
9^x = √9
9^x = 9^(1/2)
so this gives us x = 1/2
so
(3x)^(x-1) = (3*1/2)^(1/2 -1)
=> (3/2)^(-1/2)
=> 1 / (√(3/2))
=> √2/√3
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